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Finding the Fourth Proportional to 19,694.25, 29,546.24 and 5,843.25

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Solution

The fourth proportional to 19,694.25, 29,546.24 and 5,843.25 is: 8,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.25 : 29,546.24 = 5,843.25 : x
  2. Step 2: Convert to fraction form
    19,694.25/29,546.24 = 5,843.25/x
  3. Step 3: Cross multiply
    19,694.25x = 29,546.24 × 5,843.25
  4. Step 4: Simplify right side
    19,694.25x = 172,646,037.66
  5. Step 5: Solve for x
    x = 172,646,037.66/19,694.25
  6. Step 6: Final answer
    x = 8,766.32

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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.