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Finding the Fourth Proportional to 20,155.71, 30,234.82 and 5,364.30

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Solution

The fourth proportional to 20,155.71, 30,234.82 and 5,364.30 is: 8,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.71 : 30,234.82 = 5,364.30 : x
  2. Step 2: Convert to fraction form
    20,155.71/30,234.82 = 5,364.30/x
  3. Step 3: Cross multiply
    20,155.71x = 30,234.82 × 5,364.30
  4. Step 4: Simplify right side
    20,155.71x = 162,188,669.92
  5. Step 5: Solve for x
    x = 162,188,669.92/20,155.71
  6. Step 6: Final answer
    x = 8,046.78

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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.