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Finding the Fourth Proportional to 12,343.97, 18,517.89 and 4,022.06

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Solution

The fourth proportional to 12,343.97, 18,517.89 and 4,022.06 is: 6,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.97 : 18,517.89 = 4,022.06 : x
  2. Step 2: Convert to fraction form
    12,343.97/18,517.89 = 4,022.06/x
  3. Step 3: Cross multiply
    12,343.97x = 18,517.89 × 4,022.06
  4. Step 4: Simplify right side
    12,343.97x = 74,479,972.06
  5. Step 5: Solve for x
    x = 74,479,972.06/12,343.97
  6. Step 6: Final answer
    x = 6,033.71

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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.