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Finding the Fourth Proportional to 12,138.80, 18,213.60 and 5,561.60

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Solution

The fourth proportional to 12,138.80, 18,213.60 and 5,561.60 is: 8,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.80 : 18,213.60 = 5,561.60 : x
  2. Step 2: Convert to fraction form
    12,138.80/18,213.60 = 5,561.60/x
  3. Step 3: Cross multiply
    12,138.80x = 18,213.60 × 5,561.60
  4. Step 4: Simplify right side
    12,138.80x = 101,296,757.76
  5. Step 5: Solve for x
    x = 101,296,757.76/12,138.80
  6. Step 6: Final answer
    x = 8,344.87

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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.