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Finding the Fourth Proportional to 19,843.92, 29,764.98 and 6,696

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Solution

The fourth proportional to 19,843.92, 29,764.98 and 6,696 is: 10,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.92 : 29,764.98 = 6,696 : x
  2. Step 2: Convert to fraction form
    19,843.92/29,764.98 = 6,696/x
  3. Step 3: Cross multiply
    19,843.92x = 29,764.98 × 6,696
  4. Step 4: Simplify right side
    19,843.92x = 199,306,306.08
  5. Step 5: Solve for x
    x = 199,306,306.08/19,843.92
  6. Step 6: Final answer
    x = 10,043.70

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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.