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Finding the Fourth Proportional to 25,791.75, 38,704.92 and 9,375.75

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Solution

The fourth proportional to 25,791.75, 38,704.92 and 9,375.75 is: 14,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.75 : 38,704.92 = 9,375.75 : x
  2. Step 2: Convert to fraction form
    25,791.75/38,704.92 = 9,375.75/x
  3. Step 3: Cross multiply
    25,791.75x = 38,704.92 × 9,375.75
  4. Step 4: Simplify right side
    25,791.75x = 362,887,653.69
  5. Step 5: Solve for x
    x = 362,887,653.69/25,791.75
  6. Step 6: Final answer
    x = 14,069.91

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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.