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Finding the Fourth Proportional to 12,213.55, 18,310.20 and 5,198.95

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Solution

The fourth proportional to 12,213.55, 18,310.20 and 5,198.95 is: 7,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.55 : 18,310.20 = 5,198.95 : x
  2. Step 2: Convert to fraction form
    12,213.55/18,310.20 = 5,198.95/x
  3. Step 3: Cross multiply
    12,213.55x = 18,310.20 × 5,198.95
  4. Step 4: Simplify right side
    12,213.55x = 95,193,814.29
  5. Step 5: Solve for x
    x = 95,193,814.29/12,213.55
  6. Step 6: Final answer
    x = 7,794.12

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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.