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Finding the Fourth Proportional to 12,418.40, 18,627.60 and 4,099.70

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Solution

The fourth proportional to 12,418.40, 18,627.60 and 4,099.70 is: 6,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.40 : 18,627.60 = 4,099.70 : x
  2. Step 2: Convert to fraction form
    12,418.40/18,627.60 = 4,099.70/x
  3. Step 3: Cross multiply
    12,418.40x = 18,627.60 × 4,099.70
  4. Step 4: Simplify right side
    12,418.40x = 76,367,571.72
  5. Step 5: Solve for x
    x = 76,367,571.72/12,418.40
  6. Step 6: Final answer
    x = 6,149.55

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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.