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Finding the Fourth Proportional to 27,668.27, 41,496.32 and 7,942.44

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Solution

The fourth proportional to 27,668.27, 41,496.32 and 7,942.44 is: 11,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.27 : 41,496.32 = 7,942.44 : x
  2. Step 2: Convert to fraction form
    27,668.27/41,496.32 = 7,942.44/x
  3. Step 3: Cross multiply
    27,668.27x = 41,496.32 × 7,942.44
  4. Step 4: Simplify right side
    27,668.27x = 329,581,992.11
  5. Step 5: Solve for x
    x = 329,581,992.11/27,668.27
  6. Step 6: Final answer
    x = 11,911.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.