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Finding the Fourth Proportional to 12,589.38, 18,843.65 and 8,362.88

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Solution

The fourth proportional to 12,589.38, 18,843.65 and 8,362.88 is: 12,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.38 : 18,843.65 = 8,362.88 : x
  2. Step 2: Convert to fraction form
    12,589.38/18,843.65 = 8,362.88/x
  3. Step 3: Cross multiply
    12,589.38x = 18,843.65 × 8,362.88
  4. Step 4: Simplify right side
    12,589.38x = 157,587,232.18
  5. Step 5: Solve for x
    x = 157,587,232.18/12,589.38
  6. Step 6: Final answer
    x = 12,517.47

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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.