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Finding the Fourth Proportional to 17,514.93, 24,170.68 and 9,557.33

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Solution

The fourth proportional to 17,514.93, 24,170.68 and 9,557.33 is: 13,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.93 : 24,170.68 = 9,557.33 : x
  2. Step 2: Convert to fraction form
    17,514.93/24,170.68 = 9,557.33/x
  3. Step 3: Cross multiply
    17,514.93x = 24,170.68 × 9,557.33
  4. Step 4: Simplify right side
    17,514.93x = 231,007,029.30
  5. Step 5: Solve for x
    x = 231,007,029.30/17,514.93
  6. Step 6: Final answer
    x = 13,189.15

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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.