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Finding the Fourth Proportional to 10,331.92, 15,500.32 and 8,231.52

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Solution

The fourth proportional to 10,331.92, 15,500.32 and 8,231.52 is: 12,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.92 : 15,500.32 = 8,231.52 : x
  2. Step 2: Convert to fraction form
    10,331.92/15,500.32 = 8,231.52/x
  3. Step 3: Cross multiply
    10,331.92x = 15,500.32 × 8,231.52
  4. Step 4: Simplify right side
    10,331.92x = 127,591,194.09
  5. Step 5: Solve for x
    x = 127,591,194.09/10,331.92
  6. Step 6: Final answer
    x = 12,349.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.