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Finding the Fourth Proportional to 27,874.53, 41,814.76 and 8,153.19

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Solution

The fourth proportional to 27,874.53, 41,814.76 and 8,153.19 is: 12,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.53 : 41,814.76 = 8,153.19 : x
  2. Step 2: Convert to fraction form
    27,874.53/41,814.76 = 8,153.19/x
  3. Step 3: Cross multiply
    27,874.53x = 41,814.76 × 8,153.19
  4. Step 4: Simplify right side
    27,874.53x = 340,923,433.24
  5. Step 5: Solve for x
    x = 340,923,433.24/27,874.53
  6. Step 6: Final answer
    x = 12,230.65

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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.