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Finding the Fourth Proportional to 17,757.48, 24,505.32 and 9,691.16

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Solution

The fourth proportional to 17,757.48, 24,505.32 and 9,691.16 is: 13,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.48 : 24,505.32 = 9,691.16 : x
  2. Step 2: Convert to fraction form
    17,757.48/24,505.32 = 9,691.16/x
  3. Step 3: Cross multiply
    17,757.48x = 24,505.32 × 9,691.16
  4. Step 4: Simplify right side
    17,757.48x = 237,484,976.97
  5. Step 5: Solve for x
    x = 237,484,976.97/17,757.48
  6. Step 6: Final answer
    x = 13,373.80

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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.