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Finding the Fourth Proportional to 27,911.34, 41,868.34 and 8,188.26

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Solution

The fourth proportional to 27,911.34, 41,868.34 and 8,188.26 is: 12,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.34 : 41,868.34 = 8,188.26 : x
  2. Step 2: Convert to fraction form
    27,911.34/41,868.34 = 8,188.26/x
  3. Step 3: Cross multiply
    27,911.34x = 41,868.34 × 8,188.26
  4. Step 4: Simplify right side
    27,911.34x = 342,828,853.69
  5. Step 5: Solve for x
    x = 342,828,853.69/27,911.34
  6. Step 6: Final answer
    x = 12,282.78

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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.