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Finding the Fourth Proportional to 12,198.80, 18,299.64 and 4,408.40

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Solution

The fourth proportional to 12,198.80, 18,299.64 and 4,408.40 is: 6,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.80 : 18,299.64 = 4,408.40 : x
  2. Step 2: Convert to fraction form
    12,198.80/18,299.64 = 4,408.40/x
  3. Step 3: Cross multiply
    12,198.80x = 18,299.64 × 4,408.40
  4. Step 4: Simplify right side
    12,198.80x = 80,672,132.98
  5. Step 5: Solve for x
    x = 80,672,132.98/12,198.80
  6. Step 6: Final answer
    x = 6,613.12

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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.