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Finding the Fourth Proportional to 15,207.50, 20,982.60 and 9,238.82

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Solution

The fourth proportional to 15,207.50, 20,982.60 and 9,238.82 is: 12,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.50 : 20,982.60 = 9,238.82 : x
  2. Step 2: Convert to fraction form
    15,207.50/20,982.60 = 9,238.82/x
  3. Step 3: Cross multiply
    15,207.50x = 20,982.60 × 9,238.82
  4. Step 4: Simplify right side
    15,207.50x = 193,854,359.62
  5. Step 5: Solve for x
    x = 193,854,359.62/15,207.50
  6. Step 6: Final answer
    x = 12,747.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.