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Finding the Fourth Proportional to 27,843.26, 41,709.26 and 16,743.87

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Solution

The fourth proportional to 27,843.26, 41,709.26 and 16,743.87 is: 25,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.26 : 41,709.26 = 16,743.87 : x
  2. Step 2: Convert to fraction form
    27,843.26/41,709.26 = 16,743.87/x
  3. Step 3: Cross multiply
    27,843.26x = 41,709.26 × 16,743.87
  4. Step 4: Simplify right side
    27,843.26x = 698,374,343.52
  5. Step 5: Solve for x
    x = 698,374,343.52/27,843.26
  6. Step 6: Final answer
    x = 25,082.35

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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.