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Finding the Fourth Proportional to 12,231.57, 18,344.83 and 7,727.27

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Solution

The fourth proportional to 12,231.57, 18,344.83 and 7,727.27 is: 11,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.57 : 18,344.83 = 7,727.27 : x
  2. Step 2: Convert to fraction form
    12,231.57/18,344.83 = 7,727.27/x
  3. Step 3: Cross multiply
    12,231.57x = 18,344.83 × 7,727.27
  4. Step 4: Simplify right side
    12,231.57x = 141,755,357.96
  5. Step 5: Solve for x
    x = 141,755,357.96/12,231.57
  6. Step 6: Final answer
    x = 11,589.30

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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.