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Finding the Fourth Proportional to 12,229.24, 18,344.88 and 3,910.44

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Solution

The fourth proportional to 12,229.24, 18,344.88 and 3,910.44 is: 5,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.24 : 18,344.88 = 3,910.44 : x
  2. Step 2: Convert to fraction form
    12,229.24/18,344.88 = 3,910.44/x
  3. Step 3: Cross multiply
    12,229.24x = 18,344.88 × 3,910.44
  4. Step 4: Simplify right side
    12,229.24x = 71,736,552.55
  5. Step 5: Solve for x
    x = 71,736,552.55/12,229.24
  6. Step 6: Final answer
    x = 5,865.99

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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.