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Finding the Fourth Proportional to 21,844.14, 32,759.86 and 8,514.17

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Solution

The fourth proportional to 21,844.14, 32,759.86 and 8,514.17 is: 12,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844.14 : 32,759.86 = 8,514.17 : x
  2. Step 2: Convert to fraction form
    21,844.14/32,759.86 = 8,514.17/x
  3. Step 3: Cross multiply
    21,844.14x = 32,759.86 × 8,514.17
  4. Step 4: Simplify right side
    21,844.14x = 278,923,017.22
  5. Step 5: Solve for x
    x = 278,923,017.22/21,844.14
  6. Step 6: Final answer
    x = 12,768.78

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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.