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Finding the Fourth Proportional to 27,469.84, 41,204.78 and 6,693.16

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Solution

The fourth proportional to 27,469.84, 41,204.78 and 6,693.16 is: 10,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.84 : 41,204.78 = 6,693.16 : x
  2. Step 2: Convert to fraction form
    27,469.84/41,204.78 = 6,693.16/x
  3. Step 3: Cross multiply
    27,469.84x = 41,204.78 × 6,693.16
  4. Step 4: Simplify right side
    27,469.84x = 275,790,185.30
  5. Step 5: Solve for x
    x = 275,790,185.30/27,469.84
  6. Step 6: Final answer
    x = 10,039.74

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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.