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Finding the Fourth Proportional to 27,911.68, 41,873.27 and 9,192.82

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Solution

The fourth proportional to 27,911.68, 41,873.27 and 9,192.82 is: 13,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.68 : 41,873.27 = 9,192.82 : x
  2. Step 2: Convert to fraction form
    27,911.68/41,873.27 = 9,192.82/x
  3. Step 3: Cross multiply
    27,911.68x = 41,873.27 × 9,192.82
  4. Step 4: Simplify right side
    27,911.68x = 384,933,433.92
  5. Step 5: Solve for x
    x = 384,933,433.92/27,911.68
  6. Step 6: Final answer
    x = 13,791.12

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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.