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Finding the Fourth Proportional to 22,691.62, 34,016.68 and 9,544.92

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Solution

The fourth proportional to 22,691.62, 34,016.68 and 9,544.92 is: 14,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.62 : 34,016.68 = 9,544.92 : x
  2. Step 2: Convert to fraction form
    22,691.62/34,016.68 = 9,544.92/x
  3. Step 3: Cross multiply
    22,691.62x = 34,016.68 × 9,544.92
  4. Step 4: Simplify right side
    22,691.62x = 324,686,489.27
  5. Step 5: Solve for x
    x = 324,686,489.27/22,691.62
  6. Step 6: Final answer
    x = 14,308.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.