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Finding the Fourth Proportional to 22,772.61, 34,177.14 and 9,634.14

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Solution

The fourth proportional to 22,772.61, 34,177.14 and 9,634.14 is: 14,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.61 : 34,177.14 = 9,634.14 : x
  2. Step 2: Convert to fraction form
    22,772.61/34,177.14 = 9,634.14/x
  3. Step 3: Cross multiply
    22,772.61x = 34,177.14 × 9,634.14
  4. Step 4: Simplify right side
    22,772.61x = 329,267,351.56
  5. Step 5: Solve for x
    x = 329,267,351.56/22,772.61
  6. Step 6: Final answer
    x = 14,458.92

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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.