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Finding the Fourth Proportional to 12,231.30, 18,361.92 and 8,074.82

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Solution

The fourth proportional to 12,231.30, 18,361.92 and 8,074.82 is: 12,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.30 : 18,361.92 = 8,074.82 : x
  2. Step 2: Convert to fraction form
    12,231.30/18,361.92 = 8,074.82/x
  3. Step 3: Cross multiply
    12,231.30x = 18,361.92 × 8,074.82
  4. Step 4: Simplify right side
    12,231.30x = 148,269,198.85
  5. Step 5: Solve for x
    x = 148,269,198.85/12,231.30
  6. Step 6: Final answer
    x = 12,122.11

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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.