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Finding the Fourth Proportional to 27,414.63, 41,124.54 and 7,693.11

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Solution

The fourth proportional to 27,414.63, 41,124.54 and 7,693.11 is: 11,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.63 : 41,124.54 = 7,693.11 : x
  2. Step 2: Convert to fraction form
    27,414.63/41,124.54 = 7,693.11/x
  3. Step 3: Cross multiply
    27,414.63x = 41,124.54 × 7,693.11
  4. Step 4: Simplify right side
    27,414.63x = 316,375,609.92
  5. Step 5: Solve for x
    x = 316,375,609.92/27,414.63
  6. Step 6: Final answer
    x = 11,540.39

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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.