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Finding the Fourth Proportional to 27,791.69, 41,699.09 and 11,163.51

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Solution

The fourth proportional to 27,791.69, 41,699.09 and 11,163.51 is: 16,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.69 : 41,699.09 = 11,163.51 : x
  2. Step 2: Convert to fraction form
    27,791.69/41,699.09 = 11,163.51/x
  3. Step 3: Cross multiply
    27,791.69x = 41,699.09 × 11,163.51
  4. Step 4: Simplify right side
    27,791.69x = 465,508,208.21
  5. Step 5: Solve for x
    x = 465,508,208.21/27,791.69
  6. Step 6: Final answer
    x = 16,749.91

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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.