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Finding the Fourth Proportional to 22,753, 34,129.57 and 6,957.97

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Solution

The fourth proportional to 22,753, 34,129.57 and 6,957.97 is: 10,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753 : 34,129.57 = 6,957.97 : x
  2. Step 2: Convert to fraction form
    22,753/34,129.57 = 6,957.97/x
  3. Step 3: Cross multiply
    22,753x = 34,129.57 × 6,957.97
  4. Step 4: Simplify right side
    22,753x = 237,472,524.17
  5. Step 5: Solve for x
    x = 237,472,524.17/22,753
  6. Step 6: Final answer
    x = 10,436.98

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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.