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Finding the Fourth Proportional to 18,400.96, 27,614.40 and 11,843.20

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Solution

The fourth proportional to 18,400.96, 27,614.40 and 11,843.20 is: 17,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.96 : 27,614.40 = 11,843.20 : x
  2. Step 2: Convert to fraction form
    18,400.96/27,614.40 = 11,843.20/x
  3. Step 3: Cross multiply
    18,400.96x = 27,614.40 × 11,843.20
  4. Step 4: Simplify right side
    18,400.96x = 327,042,862.08
  5. Step 5: Solve for x
    x = 327,042,862.08/18,400.96
  6. Step 6: Final answer
    x = 17,773.14

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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.