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Finding the Fourth Proportional to 13,367.72, 20,042.46 and 6,781.20

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Solution

The fourth proportional to 13,367.72, 20,042.46 and 6,781.20 is: 10,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.72 : 20,042.46 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    13,367.72/20,042.46 = 6,781.20/x
  3. Step 3: Cross multiply
    13,367.72x = 20,042.46 × 6,781.20
  4. Step 4: Simplify right side
    13,367.72x = 135,911,929.75
  5. Step 5: Solve for x
    x = 135,911,929.75/13,367.72
  6. Step 6: Final answer
    x = 10,167.18

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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.