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Finding the Fourth Proportional to 29,572.98, 40,808.79 and 16,824.26

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Solution

The fourth proportional to 29,572.98, 40,808.79 and 16,824.26 is: 23,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572.98 : 40,808.79 = 16,824.26 : x
  2. Step 2: Convert to fraction form
    29,572.98/40,808.79 = 16,824.26/x
  3. Step 3: Cross multiply
    29,572.98x = 40,808.79 × 16,824.26
  4. Step 4: Simplify right side
    29,572.98x = 686,577,489.20
  5. Step 5: Solve for x
    x = 686,577,489.20/29,572.98
  6. Step 6: Final answer
    x = 23,216.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.