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Finding the Fourth Proportional to 27,892.80, 41,806.80 and 11,244.60

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Solution

The fourth proportional to 27,892.80, 41,806.80 and 11,244.60 is: 16,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.80 : 41,806.80 = 11,244.60 : x
  2. Step 2: Convert to fraction form
    27,892.80/41,806.80 = 11,244.60/x
  3. Step 3: Cross multiply
    27,892.80x = 41,806.80 × 11,244.60
  4. Step 4: Simplify right side
    27,892.80x = 470,100,743.28
  5. Step 5: Solve for x
    x = 470,100,743.28/27,892.80
  6. Step 6: Final answer
    x = 16,853.84

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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.