To calculate the sum:

$16432 + 22871 + 24569 + 18129 = 81901$

The total is 81,901.

Do you want further details or have any questions?
Here are 5 related questions to explore:

1. How can we verify addition calculations for accuracy?
2. What is the process for adding numbers with decimals?
3. How can large sums like this be computed mentally?
4. How would this change if one of the numbers were negative?
5. Can we use this in an example of averages?

Tip: When adding numbers manually, aligning the digits by place value helps minimize errors.