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Finding the Fourth Proportional to 20,321.74, 30,454.90 and 12,427

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Solution

The fourth proportional to 20,321.74, 30,454.90 and 12,427 is: 18,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.74 : 30,454.90 = 12,427 : x
  2. Step 2: Convert to fraction form
    20,321.74/30,454.90 = 12,427/x
  3. Step 3: Cross multiply
    20,321.74x = 30,454.90 × 12,427
  4. Step 4: Simplify right side
    20,321.74x = 378,463,042.30
  5. Step 5: Solve for x
    x = 378,463,042.30/20,321.74
  6. Step 6: Final answer
    x = 18,623.55

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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.