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Finding the Fourth Proportional to 15,229.50, 22,847.61 and 6,471.90

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Solution

The fourth proportional to 15,229.50, 22,847.61 and 6,471.90 is: 9,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.50 : 22,847.61 = 6,471.90 : x
  2. Step 2: Convert to fraction form
    15,229.50/22,847.61 = 6,471.90/x
  3. Step 3: Cross multiply
    15,229.50x = 22,847.61 × 6,471.90
  4. Step 4: Simplify right side
    15,229.50x = 147,867,447.16
  5. Step 5: Solve for x
    x = 147,867,447.16/15,229.50
  6. Step 6: Final answer
    x = 9,709.28

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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.