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Finding the Fourth Proportional to 27,884.80, 41,794.80 and 11,236.60

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Solution

The fourth proportional to 27,884.80, 41,794.80 and 11,236.60 is: 16,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.80 : 41,794.80 = 11,236.60 : x
  2. Step 2: Convert to fraction form
    27,884.80/41,794.80 = 11,236.60/x
  3. Step 3: Cross multiply
    27,884.80x = 41,794.80 × 11,236.60
  4. Step 4: Simplify right side
    27,884.80x = 469,631,449.68
  5. Step 5: Solve for x
    x = 469,631,449.68/27,884.80
  6. Step 6: Final answer
    x = 16,841.84

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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.