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Finding the Fourth Proportional to 12,229.98, 18,340.30 and 5,205.55

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Solution

The fourth proportional to 12,229.98, 18,340.30 and 5,205.55 is: 7,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.98 : 18,340.30 = 5,205.55 : x
  2. Step 2: Convert to fraction form
    12,229.98/18,340.30 = 5,205.55/x
  3. Step 3: Cross multiply
    12,229.98x = 18,340.30 × 5,205.55
  4. Step 4: Simplify right side
    12,229.98x = 95,471,348.67
  5. Step 5: Solve for x
    x = 95,471,348.67/12,229.98
  6. Step 6: Final answer
    x = 7,806.34

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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.