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Finding the Fourth Proportional to 20,221.38, 30,330.96 and 7,747.38

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Solution

The fourth proportional to 20,221.38, 30,330.96 and 7,747.38 is: 11,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.38 : 30,330.96 = 7,747.38 : x
  2. Step 2: Convert to fraction form
    20,221.38/30,330.96 = 7,747.38/x
  3. Step 3: Cross multiply
    20,221.38x = 30,330.96 × 7,747.38
  4. Step 4: Simplify right side
    20,221.38x = 234,985,472.88
  5. Step 5: Solve for x
    x = 234,985,472.88/20,221.38
  6. Step 6: Final answer
    x = 11,620.64

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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.