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Finding the Fourth Proportional to 12,229.72, 18,344.37 and 3,909.67

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Solution

The fourth proportional to 12,229.72, 18,344.37 and 3,909.67 is: 5,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.72 : 18,344.37 = 3,909.67 : x
  2. Step 2: Convert to fraction form
    12,229.72/18,344.37 = 3,909.67/x
  3. Step 3: Cross multiply
    12,229.72x = 18,344.37 × 3,909.67
  4. Step 4: Simplify right side
    12,229.72x = 71,720,433.06
  5. Step 5: Solve for x
    x = 71,720,433.06/12,229.72
  6. Step 6: Final answer
    x = 5,864.44

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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.