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Finding the Fourth Proportional to 27,414.59, 41,123.93 and 7,694.68

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Solution

The fourth proportional to 27,414.59, 41,123.93 and 7,694.68 is: 11,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.59 : 41,123.93 = 7,694.68 : x
  2. Step 2: Convert to fraction form
    27,414.59/41,123.93 = 7,694.68/x
  3. Step 3: Cross multiply
    27,414.59x = 41,123.93 × 7,694.68
  4. Step 4: Simplify right side
    27,414.59x = 316,435,481.69
  5. Step 5: Solve for x
    x = 316,435,481.69/27,414.59
  6. Step 6: Final answer
    x = 11,542.59

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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.