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Finding the Fourth Proportional to 20,645.10, 30,967.92 and 8,159.76

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Solution

The fourth proportional to 20,645.10, 30,967.92 and 8,159.76 is: 12,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.10 : 30,967.92 = 8,159.76 : x
  2. Step 2: Convert to fraction form
    20,645.10/30,967.92 = 8,159.76/x
  3. Step 3: Cross multiply
    20,645.10x = 30,967.92 × 8,159.76
  4. Step 4: Simplify right side
    20,645.10x = 252,690,794.90
  5. Step 5: Solve for x
    x = 252,690,794.90/20,645.10
  6. Step 6: Final answer
    x = 12,239.75

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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.