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Finding the Fourth Proportional to 12,230.68, 18,343.44 and 3,463.24

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Solution

The fourth proportional to 12,230.68, 18,343.44 and 3,463.24 is: 5,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.68 : 18,343.44 = 3,463.24 : x
  2. Step 2: Convert to fraction form
    12,230.68/18,343.44 = 3,463.24/x
  3. Step 3: Cross multiply
    12,230.68x = 18,343.44 × 3,463.24
  4. Step 4: Simplify right side
    12,230.68x = 63,527,735.15
  5. Step 5: Solve for x
    x = 63,527,735.15/12,230.68
  6. Step 6: Final answer
    x = 5,194.13

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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.