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Finding the Fourth Proportional to 22,691.28, 34,016.16 and 9,544.59

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Solution

The fourth proportional to 22,691.28, 34,016.16 and 9,544.59 is: 14,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.28 : 34,016.16 = 9,544.59 : x
  2. Step 2: Convert to fraction form
    22,691.28/34,016.16 = 9,544.59/x
  3. Step 3: Cross multiply
    22,691.28x = 34,016.16 × 9,544.59
  4. Step 4: Simplify right side
    22,691.28x = 324,670,300.57
  5. Step 5: Solve for x
    x = 324,670,300.57/22,691.28
  6. Step 6: Final answer
    x = 14,308.15

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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.