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Finding the Fourth Proportional to 27,914.52, 41,876.34 and 8,193.72

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Solution

The fourth proportional to 27,914.52, 41,876.34 and 8,193.72 is: 12,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.52 : 41,876.34 = 8,193.72 : x
  2. Step 2: Convert to fraction form
    27,914.52/41,876.34 = 8,193.72/x
  3. Step 3: Cross multiply
    27,914.52x = 41,876.34 × 8,193.72
  4. Step 4: Simplify right side
    27,914.52x = 343,123,004.58
  5. Step 5: Solve for x
    x = 343,123,004.58/27,914.52
  6. Step 6: Final answer
    x = 12,291.92

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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.