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Finding the Fourth Proportional to 12,531.70, 18,791.65 and 7,268.20

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Solution

The fourth proportional to 12,531.70, 18,791.65 and 7,268.20 is: 10,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.70 : 18,791.65 = 7,268.20 : x
  2. Step 2: Convert to fraction form
    12,531.70/18,791.65 = 7,268.20/x
  3. Step 3: Cross multiply
    12,531.70x = 18,791.65 × 7,268.20
  4. Step 4: Simplify right side
    12,531.70x = 136,581,470.53
  5. Step 5: Solve for x
    x = 136,581,470.53/12,531.70
  6. Step 6: Final answer
    x = 10,898.88

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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.