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Finding the Fourth Proportional to 12,414.82, 18,626.01 and 3,649.81

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Solution

The fourth proportional to 12,414.82, 18,626.01 and 3,649.81 is: 5,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.82 : 18,626.01 = 3,649.81 : x
  2. Step 2: Convert to fraction form
    12,414.82/18,626.01 = 3,649.81/x
  3. Step 3: Cross multiply
    12,414.82x = 18,626.01 × 3,649.81
  4. Step 4: Simplify right side
    12,414.82x = 67,981,397.56
  5. Step 5: Solve for x
    x = 67,981,397.56/12,414.82
  6. Step 6: Final answer
    x = 5,475.83

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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.