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Finding the Fourth Proportional to 29,542.56, 40,767.84 and 16,114.02

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Solution

The fourth proportional to 29,542.56, 40,767.84 and 16,114.02 is: 22,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.56 : 40,767.84 = 16,114.02 : x
  2. Step 2: Convert to fraction form
    29,542.56/40,767.84 = 16,114.02/x
  3. Step 3: Cross multiply
    29,542.56x = 40,767.84 × 16,114.02
  4. Step 4: Simplify right side
    29,542.56x = 656,933,789.12
  5. Step 5: Solve for x
    x = 656,933,789.12/29,542.56
  6. Step 6: Final answer
    x = 22,236.86

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