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Finding the Fourth Proportional to 12,049.68, 18,077.17 and 3,615.83

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Solution

The fourth proportional to 12,049.68, 18,077.17 and 3,615.83 is: 5,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.68 : 18,077.17 = 3,615.83 : x
  2. Step 2: Convert to fraction form
    12,049.68/18,077.17 = 3,615.83/x
  3. Step 3: Cross multiply
    12,049.68x = 18,077.17 × 3,615.83
  4. Step 4: Simplify right side
    12,049.68x = 65,363,865.14
  5. Step 5: Solve for x
    x = 65,363,865.14/12,049.68
  6. Step 6: Final answer
    x = 5,424.53

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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.