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Finding the Fourth Proportional to 17,514.15, 24,169.44 and 9,556.80

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Solution

The fourth proportional to 17,514.15, 24,169.44 and 9,556.80 is: 13,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.15 : 24,169.44 = 9,556.80 : x
  2. Step 2: Convert to fraction form
    17,514.15/24,169.44 = 9,556.80/x
  3. Step 3: Cross multiply
    17,514.15x = 24,169.44 × 9,556.80
  4. Step 4: Simplify right side
    17,514.15x = 230,982,504.19
  5. Step 5: Solve for x
    x = 230,982,504.19/17,514.15
  6. Step 6: Final answer
    x = 13,188.34

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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.