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Finding the Fourth Proportional to 18,195, 27,296.82 and 5,883

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Solution

The fourth proportional to 18,195, 27,296.82 and 5,883 is: 8,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,195 : 27,296.82 = 5,883 : x
  2. Step 2: Convert to fraction form
    18,195/27,296.82 = 5,883/x
  3. Step 3: Cross multiply
    18,195x = 27,296.82 × 5,883
  4. Step 4: Simplify right side
    18,195x = 160,587,192.06
  5. Step 5: Solve for x
    x = 160,587,192.06/18,195
  6. Step 6: Final answer
    x = 8,825.90

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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.