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Finding the Fourth Proportional to 20,067.62, 30,096.30 and 8,229.74

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Solution

The fourth proportional to 20,067.62, 30,096.30 and 8,229.74 is: 12,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.62 : 30,096.30 = 8,229.74 : x
  2. Step 2: Convert to fraction form
    20,067.62/30,096.30 = 8,229.74/x
  3. Step 3: Cross multiply
    20,067.62x = 30,096.30 × 8,229.74
  4. Step 4: Simplify right side
    20,067.62x = 247,684,723.96
  5. Step 5: Solve for x
    x = 247,684,723.96/20,067.62
  6. Step 6: Final answer
    x = 12,342.51

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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.