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Finding the Fourth Proportional to 10,227.24, 15,337.08 and 8,040.24

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Solution

The fourth proportional to 10,227.24, 15,337.08 and 8,040.24 is: 12,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.24 : 15,337.08 = 8,040.24 : x
  2. Step 2: Convert to fraction form
    10,227.24/15,337.08 = 8,040.24/x
  3. Step 3: Cross multiply
    10,227.24x = 15,337.08 × 8,040.24
  4. Step 4: Simplify right side
    10,227.24x = 123,313,804.10
  5. Step 5: Solve for x
    x = 123,313,804.10/10,227.24
  6. Step 6: Final answer
    x = 12,057.39

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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.