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Finding the Fourth Proportional to 17,691.93, 24,414.36 and 9,734.16

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Solution

The fourth proportional to 17,691.93, 24,414.36 and 9,734.16 is: 13,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.93 : 24,414.36 = 9,734.16 : x
  2. Step 2: Convert to fraction form
    17,691.93/24,414.36 = 9,734.16/x
  3. Step 3: Cross multiply
    17,691.93x = 24,414.36 × 9,734.16
  4. Step 4: Simplify right side
    17,691.93x = 237,653,286.54
  5. Step 5: Solve for x
    x = 237,653,286.54/17,691.93
  6. Step 6: Final answer
    x = 13,432.86

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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.