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Finding the Fourth Proportional to 19,694.14, 29,541.17 and 5,843.14

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Solution

The fourth proportional to 19,694.14, 29,541.17 and 5,843.14 is: 8,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.14 : 29,541.17 = 5,843.14 : x
  2. Step 2: Convert to fraction form
    19,694.14/29,541.17 = 5,843.14/x
  3. Step 3: Cross multiply
    19,694.14x = 29,541.17 × 5,843.14
  4. Step 4: Simplify right side
    19,694.14x = 172,613,132.83
  5. Step 5: Solve for x
    x = 172,613,132.83/19,694.14
  6. Step 6: Final answer
    x = 8,764.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.