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Finding the Fourth Proportional to 18,591.98, 27,882.06 and 6,109.13

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Solution

The fourth proportional to 18,591.98, 27,882.06 and 6,109.13 is: 9,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591.98 : 27,882.06 = 6,109.13 : x
  2. Step 2: Convert to fraction form
    18,591.98/27,882.06 = 6,109.13/x
  3. Step 3: Cross multiply
    18,591.98x = 27,882.06 × 6,109.13
  4. Step 4: Simplify right side
    18,591.98x = 170,334,989.80
  5. Step 5: Solve for x
    x = 170,334,989.80/18,591.98
  6. Step 6: Final answer
    x = 9,161.75

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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.