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Finding the Fourth Proportional to 27,793.71, 41,696.82 and 10,263.24

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Solution

The fourth proportional to 27,793.71, 41,696.82 and 10,263.24 is: 15,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.71 : 41,696.82 = 10,263.24 : x
  2. Step 2: Convert to fraction form
    27,793.71/41,696.82 = 10,263.24/x
  3. Step 3: Cross multiply
    27,793.71x = 41,696.82 × 10,263.24
  4. Step 4: Simplify right side
    27,793.71x = 427,944,470.90
  5. Step 5: Solve for x
    x = 427,944,470.90/27,793.71
  6. Step 6: Final answer
    x = 15,397.17

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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.