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Finding the Fourth Proportional to 19,876.26, 29,817.99 and 8,183.10

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Solution

The fourth proportional to 19,876.26, 29,817.99 and 8,183.10 is: 12,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.26 : 29,817.99 = 8,183.10 : x
  2. Step 2: Convert to fraction form
    19,876.26/29,817.99 = 8,183.10/x
  3. Step 3: Cross multiply
    19,876.26x = 29,817.99 × 8,183.10
  4. Step 4: Simplify right side
    19,876.26x = 244,003,593.97
  5. Step 5: Solve for x
    x = 244,003,593.97/19,876.26
  6. Step 6: Final answer
    x = 12,276.13

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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.