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Finding the Fourth Proportional to 27,910.24, 41,869.44 and 8,186.20

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Solution

The fourth proportional to 27,910.24, 41,869.44 and 8,186.20 is: 12,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.24 : 41,869.44 = 8,186.20 : x
  2. Step 2: Convert to fraction form
    27,910.24/41,869.44 = 8,186.20/x
  3. Step 3: Cross multiply
    27,910.24x = 41,869.44 × 8,186.20
  4. Step 4: Simplify right side
    27,910.24x = 342,751,505.05
  5. Step 5: Solve for x
    x = 342,751,505.05/27,910.24
  6. Step 6: Final answer
    x = 12,280.49

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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.