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Finding the Fourth Proportional to 17,668.69, 26,496.06 and 7,801

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Solution

The fourth proportional to 17,668.69, 26,496.06 and 7,801 is: 11,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.69 : 26,496.06 = 7,801 : x
  2. Step 2: Convert to fraction form
    17,668.69/26,496.06 = 7,801/x
  3. Step 3: Cross multiply
    17,668.69x = 26,496.06 × 7,801
  4. Step 4: Simplify right side
    17,668.69x = 206,695,764.06
  5. Step 5: Solve for x
    x = 206,695,764.06/17,668.69
  6. Step 6: Final answer
    x = 11,698.42

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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.