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Finding the Fourth Proportional to 27,198, 40,797.27 and 9,668.52

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Solution

The fourth proportional to 27,198, 40,797.27 and 9,668.52 is: 14,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198 : 40,797.27 = 9,668.52 : x
  2. Step 2: Convert to fraction form
    27,198/40,797.27 = 9,668.52/x
  3. Step 3: Cross multiply
    27,198x = 40,797.27 × 9,668.52
  4. Step 4: Simplify right side
    27,198x = 394,449,220.94
  5. Step 5: Solve for x
    x = 394,449,220.94/27,198
  6. Step 6: Final answer
    x = 14,502.88

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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.