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Finding the Fourth Proportional to 17,067.50, 23,553.25 and 9,514.31

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Solution

The fourth proportional to 17,067.50, 23,553.25 and 9,514.31 is: 13,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067.50 : 23,553.25 = 9,514.31 : x
  2. Step 2: Convert to fraction form
    17,067.50/23,553.25 = 9,514.31/x
  3. Step 3: Cross multiply
    17,067.50x = 23,553.25 × 9,514.31
  4. Step 4: Simplify right side
    17,067.50x = 224,092,780.46
  5. Step 5: Solve for x
    x = 224,092,780.46/17,067.50
  6. Step 6: Final answer
    x = 13,129.80

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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.