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Finding the Fourth Proportional to 22,707.50, 34,046.49 and 10,854.86

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Solution

The fourth proportional to 22,707.50, 34,046.49 and 10,854.86 is: 16,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.50 : 34,046.49 = 10,854.86 : x
  2. Step 2: Convert to fraction form
    22,707.50/34,046.49 = 10,854.86/x
  3. Step 3: Cross multiply
    22,707.50x = 34,046.49 × 10,854.86
  4. Step 4: Simplify right side
    22,707.50x = 369,569,882.44
  5. Step 5: Solve for x
    x = 369,569,882.44/22,707.50
  6. Step 6: Final answer
    x = 16,275.23

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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.