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Finding the Fourth Proportional to 12,190.92, 18,265.37 and 8,233.44

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Solution

The fourth proportional to 12,190.92, 18,265.37 and 8,233.44 is: 12,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.92 : 18,265.37 = 8,233.44 : x
  2. Step 2: Convert to fraction form
    12,190.92/18,265.37 = 8,233.44/x
  3. Step 3: Cross multiply
    12,190.92x = 18,265.37 × 8,233.44
  4. Step 4: Simplify right side
    12,190.92x = 150,386,786.81
  5. Step 5: Solve for x
    x = 150,386,786.81/12,190.92
  6. Step 6: Final answer
    x = 12,335.97

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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.