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Finding the Fourth Proportional to 12,306.60, 18,471.78 and 11,640.60

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Solution

The fourth proportional to 12,306.60, 18,471.78 and 11,640.60 is: 17,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.60 : 18,471.78 = 11,640.60 : x
  2. Step 2: Convert to fraction form
    12,306.60/18,471.78 = 11,640.60/x
  3. Step 3: Cross multiply
    12,306.60x = 18,471.78 × 11,640.60
  4. Step 4: Simplify right side
    12,306.60x = 215,022,602.27
  5. Step 5: Solve for x
    x = 215,022,602.27/12,306.60
  6. Step 6: Final answer
    x = 17,472.14

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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.