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Finding the Fourth Proportional to 29,542.72, 40,768.32 and 16,114

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Solution

The fourth proportional to 29,542.72, 40,768.32 and 16,114 is: 22,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.72 : 40,768.32 = 16,114 : x
  2. Step 2: Convert to fraction form
    29,542.72/40,768.32 = 16,114/x
  3. Step 3: Cross multiply
    29,542.72x = 40,768.32 × 16,114
  4. Step 4: Simplify right side
    29,542.72x = 656,940,708.48
  5. Step 5: Solve for x
    x = 656,940,708.48/29,542.72
  6. Step 6: Final answer
    x = 22,236.97

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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.