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Finding the Fourth Proportional to 13,781.85, 20,672.31 and 5,990.66

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Solution

The fourth proportional to 13,781.85, 20,672.31 and 5,990.66 is: 8,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.85 : 20,672.31 = 5,990.66 : x
  2. Step 2: Convert to fraction form
    13,781.85/20,672.31 = 5,990.66/x
  3. Step 3: Cross multiply
    13,781.85x = 20,672.31 × 5,990.66
  4. Step 4: Simplify right side
    13,781.85x = 123,840,777.25
  5. Step 5: Solve for x
    x = 123,840,777.25/13,781.85
  6. Step 6: Final answer
    x = 8,985.79

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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.