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Finding the Fourth Proportional to 20,517.92, 30,771.41 and 5,724.24

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Solution

The fourth proportional to 20,517.92, 30,771.41 and 5,724.24 is: 8,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.92 : 30,771.41 = 5,724.24 : x
  2. Step 2: Convert to fraction form
    20,517.92/30,771.41 = 5,724.24/x
  3. Step 3: Cross multiply
    20,517.92x = 30,771.41 × 5,724.24
  4. Step 4: Simplify right side
    20,517.92x = 176,142,791.96
  5. Step 5: Solve for x
    x = 176,142,791.96/20,517.92
  6. Step 6: Final answer
    x = 8,584.83

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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.