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Finding the Fourth Proportional to 27,469.38, 37,907.62 and 14,894.14

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Solution

The fourth proportional to 27,469.38, 37,907.62 and 14,894.14 is: 20,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.38 : 37,907.62 = 14,894.14 : x
  2. Step 2: Convert to fraction form
    27,469.38/37,907.62 = 14,894.14/x
  3. Step 3: Cross multiply
    27,469.38x = 37,907.62 × 14,894.14
  4. Step 4: Simplify right side
    27,469.38x = 564,601,399.35
  5. Step 5: Solve for x
    x = 564,601,399.35/27,469.38
  6. Step 6: Final answer
    x = 20,553.85

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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.