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Finding the Fourth Proportional to 27,801, 41,694.94 and 9,076.20

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Solution

The fourth proportional to 27,801, 41,694.94 and 9,076.20 is: 13,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801 : 41,694.94 = 9,076.20 : x
  2. Step 2: Convert to fraction form
    27,801/41,694.94 = 9,076.20/x
  3. Step 3: Cross multiply
    27,801x = 41,694.94 × 9,076.20
  4. Step 4: Simplify right side
    27,801x = 378,431,614.43
  5. Step 5: Solve for x
    x = 378,431,614.43/27,801
  6. Step 6: Final answer
    x = 13,612.16

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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.