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Finding the Fourth Proportional to 27,197.58, 40,791.78 and 9,663.42

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Solution

The fourth proportional to 27,197.58, 40,791.78 and 9,663.42 is: 14,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.58 : 40,791.78 = 9,663.42 : x
  2. Step 2: Convert to fraction form
    27,197.58/40,791.78 = 9,663.42/x
  3. Step 3: Cross multiply
    27,197.58x = 40,791.78 × 9,663.42
  4. Step 4: Simplify right side
    27,197.58x = 394,188,102.69
  5. Step 5: Solve for x
    x = 394,188,102.69/27,197.58
  6. Step 6: Final answer
    x = 14,493.50

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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.