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Finding the Fourth Proportional to 27,682, 41,523 and 8,226

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Solution

The fourth proportional to 27,682, 41,523 and 8,226 is: 12,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 41,523 = 8,226 : x
  2. Step 2: Convert to fraction form
    27,682/41,523 = 8,226/x
  3. Step 3: Cross multiply
    27,682x = 41,523 × 8,226
  4. Step 4: Simplify right side
    27,682x = 341,568,198
  5. Step 5: Solve for x
    x = 341,568,198/27,682
  6. Step 6: Final answer
    x = 12,339

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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.