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Finding the Fourth Proportional to 17,747.88, 26,627.97 and 7,894.08

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Solution

The fourth proportional to 17,747.88, 26,627.97 and 7,894.08 is: 11,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.88 : 26,627.97 = 7,894.08 : x
  2. Step 2: Convert to fraction form
    17,747.88/26,627.97 = 7,894.08/x
  3. Step 3: Cross multiply
    17,747.88x = 26,627.97 × 7,894.08
  4. Step 4: Simplify right side
    17,747.88x = 210,203,325.42
  5. Step 5: Solve for x
    x = 210,203,325.42/17,747.88
  6. Step 6: Final answer
    x = 11,843.86

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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.