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Finding the Fourth Proportional to 18,115.14, 27,180.50 and 9,801

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Solution

The fourth proportional to 18,115.14, 27,180.50 and 9,801 is: 14,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.14 : 27,180.50 = 9,801 : x
  2. Step 2: Convert to fraction form
    18,115.14/27,180.50 = 9,801/x
  3. Step 3: Cross multiply
    18,115.14x = 27,180.50 × 9,801
  4. Step 4: Simplify right side
    18,115.14x = 266,396,080.50
  5. Step 5: Solve for x
    x = 266,396,080.50/18,115.14
  6. Step 6: Final answer
    x = 14,705.71

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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.