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Finding the Fourth Proportional to 12,589.78, 18,871.71 and 6,744.82

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Solution

The fourth proportional to 12,589.78, 18,871.71 and 6,744.82 is: 10,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.78 : 18,871.71 = 6,744.82 : x
  2. Step 2: Convert to fraction form
    12,589.78/18,871.71 = 6,744.82/x
  3. Step 3: Cross multiply
    12,589.78x = 18,871.71 × 6,744.82
  4. Step 4: Simplify right side
    12,589.78x = 127,286,287.04
  5. Step 5: Solve for x
    x = 127,286,287.04/12,589.78
  6. Step 6: Final answer
    x = 10,110.29

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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.