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Finding the Fourth Proportional to 17,514, 24,169.27 and 9,556.22

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Solution

The fourth proportional to 17,514, 24,169.27 and 9,556.22 is: 13,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514 : 24,169.27 = 9,556.22 : x
  2. Step 2: Convert to fraction form
    17,514/24,169.27 = 9,556.22/x
  3. Step 3: Cross multiply
    17,514x = 24,169.27 × 9,556.22
  4. Step 4: Simplify right side
    17,514x = 230,966,897.89
  5. Step 5: Solve for x
    x = 230,966,897.89/17,514
  6. Step 6: Final answer
    x = 13,187.56

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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.