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Finding the Fourth Proportional to 19,696.91, 29,545.39 and 5,845.91

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Solution

The fourth proportional to 19,696.91, 29,545.39 and 5,845.91 is: 8,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.91 : 29,545.39 = 5,845.91 : x
  2. Step 2: Convert to fraction form
    19,696.91/29,545.39 = 5,845.91/x
  3. Step 3: Cross multiply
    19,696.91x = 29,545.39 × 5,845.91
  4. Step 4: Simplify right side
    19,696.91x = 172,719,550.44
  5. Step 5: Solve for x
    x = 172,719,550.44/19,696.91
  6. Step 6: Final answer
    x = 8,768.87

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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.