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Finding the Fourth Proportional to 20,251.59, 30,377.21 and 6,400.59

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Solution

The fourth proportional to 20,251.59, 30,377.21 and 6,400.59 is: 9,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.59 : 30,377.21 = 6,400.59 : x
  2. Step 2: Convert to fraction form
    20,251.59/30,377.21 = 6,400.59/x
  3. Step 3: Cross multiply
    20,251.59x = 30,377.21 × 6,400.59
  4. Step 4: Simplify right side
    20,251.59x = 194,432,034.55
  5. Step 5: Solve for x
    x = 194,432,034.55/20,251.59
  6. Step 6: Final answer
    x = 9,600.83

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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.