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Finding the Fourth Proportional to 22,471.28, 33,706.84 and 5,829.92

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Solution

The fourth proportional to 22,471.28, 33,706.84 and 5,829.92 is: 8,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.28 : 33,706.84 = 5,829.92 : x
  2. Step 2: Convert to fraction form
    22,471.28/33,706.84 = 5,829.92/x
  3. Step 3: Cross multiply
    22,471.28x = 33,706.84 × 5,829.92
  4. Step 4: Simplify right side
    22,471.28x = 196,508,180.65
  5. Step 5: Solve for x
    x = 196,508,180.65/22,471.28
  6. Step 6: Final answer
    x = 8,744.86

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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.