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Finding the Fourth Proportional to 20,253.46, 30,380.22 and 8,566.78

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Solution

The fourth proportional to 20,253.46, 30,380.22 and 8,566.78 is: 12,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.46 : 30,380.22 = 8,566.78 : x
  2. Step 2: Convert to fraction form
    20,253.46/30,380.22 = 8,566.78/x
  3. Step 3: Cross multiply
    20,253.46x = 30,380.22 × 8,566.78
  4. Step 4: Simplify right side
    20,253.46x = 260,260,661.09
  5. Step 5: Solve for x
    x = 260,260,661.09/20,253.46
  6. Step 6: Final answer
    x = 12,850.18

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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.