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Finding the Fourth Proportional to 19,694.63, 29,546.81 and 5,843.63

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Solution

The fourth proportional to 19,694.63, 29,546.81 and 5,843.63 is: 8,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.63 : 29,546.81 = 5,843.63 : x
  2. Step 2: Convert to fraction form
    19,694.63/29,546.81 = 5,843.63/x
  3. Step 3: Cross multiply
    19,694.63x = 29,546.81 × 5,843.63
  4. Step 4: Simplify right side
    19,694.63x = 172,660,448.37
  5. Step 5: Solve for x
    x = 172,660,448.37/19,694.63
  6. Step 6: Final answer
    x = 8,766.88

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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.