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Finding the Fourth Proportional to 23,209.42, 34,792.97 and 8,414.97

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Solution

The fourth proportional to 23,209.42, 34,792.97 and 8,414.97 is: 12,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.42 : 34,792.97 = 8,414.97 : x
  2. Step 2: Convert to fraction form
    23,209.42/34,792.97 = 8,414.97/x
  3. Step 3: Cross multiply
    23,209.42x = 34,792.97 × 8,414.97
  4. Step 4: Simplify right side
    23,209.42x = 292,781,756.69
  5. Step 5: Solve for x
    x = 292,781,756.69/23,209.42
  6. Step 6: Final answer
    x = 12,614.78

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1.5x scale

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.