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Finding the Fourth Proportional to 11,514.86, 17,249.36 and 8,873.15

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Solution

The fourth proportional to 11,514.86, 17,249.36 and 8,873.15 is: 13,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.86 : 17,249.36 = 8,873.15 : x
  2. Step 2: Convert to fraction form
    11,514.86/17,249.36 = 8,873.15/x
  3. Step 3: Cross multiply
    11,514.86x = 17,249.36 × 8,873.15
  4. Step 4: Simplify right side
    11,514.86x = 153,056,028.07
  5. Step 5: Solve for x
    x = 153,056,028.07/11,514.86
  6. Step 6: Final answer
    x = 13,292.05

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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.