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Finding the Fourth Proportional to 12,414.85, 18,626.17 and 4,100.71

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Solution

The fourth proportional to 12,414.85, 18,626.17 and 4,100.71 is: 6,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.85 : 18,626.17 = 4,100.71 : x
  2. Step 2: Convert to fraction form
    12,414.85/18,626.17 = 4,100.71/x
  3. Step 3: Cross multiply
    12,414.85x = 18,626.17 × 4,100.71
  4. Step 4: Simplify right side
    12,414.85x = 76,380,507.38
  5. Step 5: Solve for x
    x = 76,380,507.38/12,414.85
  6. Step 6: Final answer
    x = 6,152.35

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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.