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Finding the Fourth Proportional to 20,644.48, 30,945.54 and 8,159.44

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Solution

The fourth proportional to 20,644.48, 30,945.54 and 8,159.44 is: 12,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.48 : 30,945.54 = 8,159.44 : x
  2. Step 2: Convert to fraction form
    20,644.48/30,945.54 = 8,159.44/x
  3. Step 3: Cross multiply
    20,644.48x = 30,945.54 × 8,159.44
  4. Step 4: Simplify right side
    20,644.48x = 252,498,276.90
  5. Step 5: Solve for x
    x = 252,498,276.90/20,644.48
  6. Step 6: Final answer
    x = 12,230.79

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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.