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Finding the Fourth Proportional to 27,560.38, 41,326.98 and 8,836

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Solution

The fourth proportional to 27,560.38, 41,326.98 and 8,836 is: 13,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,560.38 : 41,326.98 = 8,836 : x
  2. Step 2: Convert to fraction form
    27,560.38/41,326.98 = 8,836/x
  3. Step 3: Cross multiply
    27,560.38x = 41,326.98 × 8,836
  4. Step 4: Simplify right side
    27,560.38x = 365,165,195.28
  5. Step 5: Solve for x
    x = 365,165,195.28/27,560.38
  6. Step 6: Final answer
    x = 13,249.64

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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.