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Finding the Fourth Proportional to 27,794.70, 41,698.62 and 8,073.72

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Solution

The fourth proportional to 27,794.70, 41,698.62 and 8,073.72 is: 12,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.70 : 41,698.62 = 8,073.72 : x
  2. Step 2: Convert to fraction form
    27,794.70/41,698.62 = 8,073.72/x
  3. Step 3: Cross multiply
    27,794.70x = 41,698.62 × 8,073.72
  4. Step 4: Simplify right side
    27,794.70x = 336,662,982.27
  5. Step 5: Solve for x
    x = 336,662,982.27/27,794.70
  6. Step 6: Final answer
    x = 12,112.49

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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.