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Finding the Fourth Proportional to 27,791.52, 41,663.52 and 11,163.84

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Solution

The fourth proportional to 27,791.52, 41,663.52 and 11,163.84 is: 16,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.52 : 41,663.52 = 11,163.84 : x
  2. Step 2: Convert to fraction form
    27,791.52/41,663.52 = 11,163.84/x
  3. Step 3: Cross multiply
    27,791.52x = 41,663.52 × 11,163.84
  4. Step 4: Simplify right side
    27,791.52x = 465,124,871.12
  5. Step 5: Solve for x
    x = 465,124,871.12/27,791.52
  6. Step 6: Final answer
    x = 16,736.22

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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.