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Finding the Fourth Proportional to 17,149.77, 23,668.11 and 9,596.80

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Solution

The fourth proportional to 17,149.77, 23,668.11 and 9,596.80 is: 13,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.77 : 23,668.11 = 9,596.80 : x
  2. Step 2: Convert to fraction form
    17,149.77/23,668.11 = 9,596.80/x
  3. Step 3: Cross multiply
    17,149.77x = 23,668.11 × 9,596.80
  4. Step 4: Simplify right side
    17,149.77x = 227,138,058.88
  5. Step 5: Solve for x
    x = 227,138,058.88/17,149.77
  6. Step 6: Final answer
    x = 13,244.38

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1.5x scale

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.