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Finding the Fourth Proportional to 27,806.92, 41,710.04 and 11,166.65

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Solution

The fourth proportional to 27,806.92, 41,710.04 and 11,166.65 is: 16,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.92 : 41,710.04 = 11,166.65 : x
  2. Step 2: Convert to fraction form
    27,806.92/41,710.04 = 11,166.65/x
  3. Step 3: Cross multiply
    27,806.92x = 41,710.04 × 11,166.65
  4. Step 4: Simplify right side
    27,806.92x = 465,761,418.17
  5. Step 5: Solve for x
    x = 465,761,418.17/27,806.92
  6. Step 6: Final answer
    x = 16,749.84

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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.