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Finding the Fourth Proportional to 17,884.99, 26,827.17 and 6,198.04

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Solution

The fourth proportional to 17,884.99, 26,827.17 and 6,198.04 is: 9,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.99 : 26,827.17 = 6,198.04 : x
  2. Step 2: Convert to fraction form
    17,884.99/26,827.17 = 6,198.04/x
  3. Step 3: Cross multiply
    17,884.99x = 26,827.17 × 6,198.04
  4. Step 4: Simplify right side
    17,884.99x = 166,275,872.75
  5. Step 5: Solve for x
    x = 166,275,872.75/17,884.99
  6. Step 6: Final answer
    x = 9,296.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.