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Finding the Fourth Proportional to 12,198.60, 18,296 and 3,877.52

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Solution

The fourth proportional to 12,198.60, 18,296 and 3,877.52 is: 5,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.60 : 18,296 = 3,877.52 : x
  2. Step 2: Convert to fraction form
    12,198.60/18,296 = 3,877.52/x
  3. Step 3: Cross multiply
    12,198.60x = 18,296 × 3,877.52
  4. Step 4: Simplify right side
    12,198.60x = 70,943,105.92
  5. Step 5: Solve for x
    x = 70,943,105.92/12,198.60
  6. Step 6: Final answer
    x = 5,815.68

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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.