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Finding the Fourth Proportional to 12,121.64, 18,147.90 and 8,220.20

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Solution

The fourth proportional to 12,121.64, 18,147.90 and 8,220.20 is: 12,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.64 : 18,147.90 = 8,220.20 : x
  2. Step 2: Convert to fraction form
    12,121.64/18,147.90 = 8,220.20/x
  3. Step 3: Cross multiply
    12,121.64x = 18,147.90 × 8,220.20
  4. Step 4: Simplify right side
    12,121.64x = 149,179,367.58
  5. Step 5: Solve for x
    x = 149,179,367.58/12,121.64
  6. Step 6: Final answer
    x = 12,306.86

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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.