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Finding the Fourth Proportional to 18,195.20, 27,292.80 and 5,883.20

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Solution

The fourth proportional to 18,195.20, 27,292.80 and 5,883.20 is: 8,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,195.20 : 27,292.80 = 5,883.20 : x
  2. Step 2: Convert to fraction form
    18,195.20/27,292.80 = 5,883.20/x
  3. Step 3: Cross multiply
    18,195.20x = 27,292.80 × 5,883.20
  4. Step 4: Simplify right side
    18,195.20x = 160,568,864.50
  5. Step 5: Solve for x
    x = 160,568,864.50/18,195.20
  6. Step 6: Final answer
    x = 8,824.79

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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.