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Finding the Fourth Proportional to 17,882.57, 26,823.89 and 6,195.80

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Solution

The fourth proportional to 17,882.57, 26,823.89 and 6,195.80 is: 9,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.57 : 26,823.89 = 6,195.80 : x
  2. Step 2: Convert to fraction form
    17,882.57/26,823.89 = 6,195.80/x
  3. Step 3: Cross multiply
    17,882.57x = 26,823.89 × 6,195.80
  4. Step 4: Simplify right side
    17,882.57x = 166,195,540.21
  5. Step 5: Solve for x
    x = 166,195,540.21/17,882.57
  6. Step 6: Final answer
    x = 9,293.72

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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.