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The problem asks for the tax on a property assessed at $820,000, given that in Dallas, the tax on a property assessed at $940,000 is $18,800. The tax rate is proportional to the property value, so we can set up a proportion to solve for the unknown tax.

Let $ T $ be the tax on the $820,000 property. The proportion is:

\[
\frac{18,800}{940,000} = \frac{T}{820,000}
\]

Now we can solve for $ T $:

\[
T = \frac{18,800 \times 820,000}{940,000}
\]

Let me calculate that for you.The tax on a property assessed at $820,000 would be **$16,400**.

Would you like more details on this solution? Here are some related questions you might find helpful:

1. What is the tax rate as a percentage for the $940,000 property?
2. How would the tax change if the property was valued at $1,000,000?
3. What happens to the tax if the property value decreases to $750,000?
4. How can you calculate property tax if the tax rate changes over time?
5. Is this type of proportional tax typical across other cities?

**Tip**: When dealing with proportional relationships, setting up ratios helps simplify calculations by maintaining the same proportionality across different values.

In Dallas, the tax on a property assessed at $940,000 is $18,800. If tax rates are proportional in this city, how much would the tax be on a property assessed at $820,000?

Learn how to calculate the tax on a property valued at $820,000 in Dallas, where a $940,000 property incurs $18,800 in taxes. This proportional tax problem illustrates key concepts in algebra. Suitable for students in Grades 9-11.

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