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Finding the Fourth Proportional to 18,227.25, 25,153.61 and 9,843.75

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Solution

The fourth proportional to 18,227.25, 25,153.61 and 9,843.75 is: 13,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.25 : 25,153.61 = 9,843.75 : x
  2. Step 2: Convert to fraction form
    18,227.25/25,153.61 = 9,843.75/x
  3. Step 3: Cross multiply
    18,227.25x = 25,153.61 × 9,843.75
  4. Step 4: Simplify right side
    18,227.25x = 247,605,799.22
  5. Step 5: Solve for x
    x = 247,605,799.22/18,227.25
  6. Step 6: Final answer
    x = 13,584.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.