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Finding the Fourth Proportional to 12,338.60, 18,512.80 and 5,408.24

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Solution

The fourth proportional to 12,338.60, 18,512.80 and 5,408.24 is: 8,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.60 : 18,512.80 = 5,408.24 : x
  2. Step 2: Convert to fraction form
    12,338.60/18,512.80 = 5,408.24/x
  3. Step 3: Cross multiply
    12,338.60x = 18,512.80 × 5,408.24
  4. Step 4: Simplify right side
    12,338.60x = 100,121,665.47
  5. Step 5: Solve for x
    x = 100,121,665.47/12,338.60
  6. Step 6: Final answer
    x = 8,114.51

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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.