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Finding the Fourth Proportional to 20,793.53, 31,190.43 and 8,314.61

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Solution

The fourth proportional to 20,793.53, 31,190.43 and 8,314.61 is: 12,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.53 : 31,190.43 = 8,314.61 : x
  2. Step 2: Convert to fraction form
    20,793.53/31,190.43 = 8,314.61/x
  3. Step 3: Cross multiply
    20,793.53x = 31,190.43 × 8,314.61
  4. Step 4: Simplify right side
    20,793.53x = 259,336,136.41
  5. Step 5: Solve for x
    x = 259,336,136.41/20,793.53
  6. Step 6: Final answer
    x = 12,471.96

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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.