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Finding the Fourth Proportional to 22,753.32, 34,138.78 and 7,963.88

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Solution

The fourth proportional to 22,753.32, 34,138.78 and 7,963.88 is: 11,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.32 : 34,138.78 = 7,963.88 : x
  2. Step 2: Convert to fraction form
    22,753.32/34,138.78 = 7,963.88/x
  3. Step 3: Cross multiply
    22,753.32x = 34,138.78 × 7,963.88
  4. Step 4: Simplify right side
    22,753.32x = 271,877,147.27
  5. Step 5: Solve for x
    x = 271,877,147.27/22,753.32
  6. Step 6: Final answer
    x = 11,948.90

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Why These Related Problems?

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