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Finding the Fourth Proportional to 12,514.88, 17,268.72 and 8,039

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Solution

The fourth proportional to 12,514.88, 17,268.72 and 8,039 is: 11,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.88 : 17,268.72 = 8,039 : x
  2. Step 2: Convert to fraction form
    12,514.88/17,268.72 = 8,039/x
  3. Step 3: Cross multiply
    12,514.88x = 17,268.72 × 8,039
  4. Step 4: Simplify right side
    12,514.88x = 138,823,240.08
  5. Step 5: Solve for x
    x = 138,823,240.08/12,514.88
  6. Step 6: Final answer
    x = 11,092.65

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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.