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Finding the Fourth Proportional to 29,542.64, 40,768.10 and 16,114.20

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Solution

The fourth proportional to 29,542.64, 40,768.10 and 16,114.20 is: 22,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.64 : 40,768.10 = 16,114.20 : x
  2. Step 2: Convert to fraction form
    29,542.64/40,768.10 = 16,114.20/x
  3. Step 3: Cross multiply
    29,542.64x = 40,768.10 × 16,114.20
  4. Step 4: Simplify right side
    29,542.64x = 656,945,317.02
  5. Step 5: Solve for x
    x = 656,945,317.02/29,542.64
  6. Step 6: Final answer
    x = 22,237.19

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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.