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Finding the Fourth Proportional to 13,891.29, 20,851.74 and 5,997.66

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Solution

The fourth proportional to 13,891.29, 20,851.74 and 5,997.66 is: 9,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.29 : 20,851.74 = 5,997.66 : x
  2. Step 2: Convert to fraction form
    13,891.29/20,851.74 = 5,997.66/x
  3. Step 3: Cross multiply
    13,891.29x = 20,851.74 × 5,997.66
  4. Step 4: Simplify right side
    13,891.29x = 125,061,646.93
  5. Step 5: Solve for x
    x = 125,061,646.93/13,891.29
  6. Step 6: Final answer
    x = 9,002.88

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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.