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Finding the Fourth Proportional to 18,517.38, 27,778.95 and 6,202.50

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Solution

The fourth proportional to 18,517.38, 27,778.95 and 6,202.50 is: 9,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.38 : 27,778.95 = 6,202.50 : x
  2. Step 2: Convert to fraction form
    18,517.38/27,778.95 = 6,202.50/x
  3. Step 3: Cross multiply
    18,517.38x = 27,778.95 × 6,202.50
  4. Step 4: Simplify right side
    18,517.38x = 172,298,937.38
  5. Step 5: Solve for x
    x = 172,298,937.38/18,517.38
  6. Step 6: Final answer
    x = 9,304.71

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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.