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Finding the Fourth Proportional to 27,808, 41,717.25 and 11,169.34

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Solution

The fourth proportional to 27,808, 41,717.25 and 11,169.34 is: 16,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 41,717.25 = 11,169.34 : x
  2. Step 2: Convert to fraction form
    27,808/41,717.25 = 11,169.34/x
  3. Step 3: Cross multiply
    27,808x = 41,717.25 × 11,169.34
  4. Step 4: Simplify right side
    27,808x = 465,954,149.12
  5. Step 5: Solve for x
    x = 465,954,149.12/27,808
  6. Step 6: Final answer
    x = 16,756.12

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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.