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Finding the Fourth Proportional to 27,920.62, 41,874.45 and 8,193.88

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Solution

The fourth proportional to 27,920.62, 41,874.45 and 8,193.88 is: 12,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.62 : 41,874.45 = 8,193.88 : x
  2. Step 2: Convert to fraction form
    27,920.62/41,874.45 = 8,193.88/x
  3. Step 3: Cross multiply
    27,920.62x = 41,874.45 × 8,193.88
  4. Step 4: Simplify right side
    27,920.62x = 343,114,218.37
  5. Step 5: Solve for x
    x = 343,114,218.37/27,920.62
  6. Step 6: Final answer
    x = 12,288.92

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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.