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Finding the Fourth Proportional to 17,514.82, 24,170.24 and 9,556.87

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Solution

The fourth proportional to 17,514.82, 24,170.24 and 9,556.87 is: 13,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.82 : 24,170.24 = 9,556.87 : x
  2. Step 2: Convert to fraction form
    17,514.82/24,170.24 = 9,556.87/x
  3. Step 3: Cross multiply
    17,514.82x = 24,170.24 × 9,556.87
  4. Step 4: Simplify right side
    17,514.82x = 230,991,805.02
  5. Step 5: Solve for x
    x = 230,991,805.02/17,514.82
  6. Step 6: Final answer
    x = 13,188.36

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