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Finding the Fourth Proportional to 22,772.64, 34,148.92 and 10,292.16

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Solution

The fourth proportional to 22,772.64, 34,148.92 and 10,292.16 is: 15,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.64 : 34,148.92 = 10,292.16 : x
  2. Step 2: Convert to fraction form
    22,772.64/34,148.92 = 10,292.16/x
  3. Step 3: Cross multiply
    22,772.64x = 34,148.92 × 10,292.16
  4. Step 4: Simplify right side
    22,772.64x = 351,466,148.47
  5. Step 5: Solve for x
    x = 351,466,148.47/22,772.64
  6. Step 6: Final answer
    x = 15,433.70

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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.