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Finding the Fourth Proportional to 12,231.60, 18,338.41 and 3,906.81

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Solution

The fourth proportional to 12,231.60, 18,338.41 and 3,906.81 is: 5,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.60 : 18,338.41 = 3,906.81 : x
  2. Step 2: Convert to fraction form
    12,231.60/18,338.41 = 3,906.81/x
  3. Step 3: Cross multiply
    12,231.60x = 18,338.41 × 3,906.81
  4. Step 4: Simplify right side
    12,231.60x = 71,644,683.57
  5. Step 5: Solve for x
    x = 71,644,683.57/12,231.60
  6. Step 6: Final answer
    x = 5,857.34

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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.