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Finding the Fourth Proportional to 21,191.25, 29,244.84 and 11,759.82

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Solution

The fourth proportional to 21,191.25, 29,244.84 and 11,759.82 is: 16,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.25 : 29,244.84 = 11,759.82 : x
  2. Step 2: Convert to fraction form
    21,191.25/29,244.84 = 11,759.82/x
  3. Step 3: Cross multiply
    21,191.25x = 29,244.84 × 11,759.82
  4. Step 4: Simplify right side
    21,191.25x = 343,914,054.33
  5. Step 5: Solve for x
    x = 343,914,054.33/21,191.25
  6. Step 6: Final answer
    x = 16,229.06

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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.