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Finding the Fourth Proportional to 27,882, 41,826.90 and 8,161.98

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Solution

The fourth proportional to 27,882, 41,826.90 and 8,161.98 is: 12,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 41,826.90 = 8,161.98 : x
  2. Step 2: Convert to fraction form
    27,882/41,826.90 = 8,161.98/x
  3. Step 3: Cross multiply
    27,882x = 41,826.90 × 8,161.98
  4. Step 4: Simplify right side
    27,882x = 341,390,321.26
  5. Step 5: Solve for x
    x = 341,390,321.26/27,882
  6. Step 6: Final answer
    x = 12,244.11

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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.