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Finding the Fourth Proportional to 19,884.20, 29,825.82 and 8,198.12

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Solution

The fourth proportional to 19,884.20, 29,825.82 and 8,198.12 is: 12,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.20 : 29,825.82 = 8,198.12 : x
  2. Step 2: Convert to fraction form
    19,884.20/29,825.82 = 8,198.12/x
  3. Step 3: Cross multiply
    19,884.20x = 29,825.82 × 8,198.12
  4. Step 4: Simplify right side
    19,884.20x = 244,515,651.46
  5. Step 5: Solve for x
    x = 244,515,651.46/19,884.20
  6. Step 6: Final answer
    x = 12,296.98

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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.