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Finding the Fourth Proportional to 17,221.49, 23,766 and 9,668.37

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Solution

The fourth proportional to 17,221.49, 23,766 and 9,668.37 is: 13,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.49 : 23,766 = 9,668.37 : x
  2. Step 2: Convert to fraction form
    17,221.49/23,766 = 9,668.37/x
  3. Step 3: Cross multiply
    17,221.49x = 23,766 × 9,668.37
  4. Step 4: Simplify right side
    17,221.49x = 229,778,481.42
  5. Step 5: Solve for x
    x = 229,778,481.42/17,221.49
  6. Step 6: Final answer
    x = 13,342.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.