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Finding the Fourth Proportional to 27,791.72, 41,668.14 and 13,933.16

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Solution

The fourth proportional to 27,791.72, 41,668.14 and 13,933.16 is: 20,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.72 : 41,668.14 = 13,933.16 : x
  2. Step 2: Convert to fraction form
    27,791.72/41,668.14 = 13,933.16/x
  3. Step 3: Cross multiply
    27,791.72x = 41,668.14 × 13,933.16
  4. Step 4: Simplify right side
    27,791.72x = 580,568,861.52
  5. Step 5: Solve for x
    x = 580,568,861.52/27,791.72
  6. Step 6: Final answer
    x = 20,889.99

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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.