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Finding the Fourth Proportional to 12,257.10, 18,385.65 and 7,324.20

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Solution

The fourth proportional to 12,257.10, 18,385.65 and 7,324.20 is: 10,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.10 : 18,385.65 = 7,324.20 : x
  2. Step 2: Convert to fraction form
    12,257.10/18,385.65 = 7,324.20/x
  3. Step 3: Cross multiply
    12,257.10x = 18,385.65 × 7,324.20
  4. Step 4: Simplify right side
    12,257.10x = 134,660,177.73
  5. Step 5: Solve for x
    x = 134,660,177.73/12,257.10
  6. Step 6: Final answer
    x = 10,986.30

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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.