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Finding the Fourth Proportional to 17,514.80, 26,257.40 and 8,149.98

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Solution

The fourth proportional to 17,514.80, 26,257.40 and 8,149.98 is: 12,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.80 : 26,257.40 = 8,149.98 : x
  2. Step 2: Convert to fraction form
    17,514.80/26,257.40 = 8,149.98/x
  3. Step 3: Cross multiply
    17,514.80x = 26,257.40 × 8,149.98
  4. Step 4: Simplify right side
    17,514.80x = 213,997,284.85
  5. Step 5: Solve for x
    x = 213,997,284.85/17,514.80
  6. Step 6: Final answer
    x = 12,218.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.