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Finding the Fourth Proportional to 22,876.92, 34,287.92 and 11,788.80

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Solution

The fourth proportional to 22,876.92, 34,287.92 and 11,788.80 is: 17,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.92 : 34,287.92 = 11,788.80 : x
  2. Step 2: Convert to fraction form
    22,876.92/34,287.92 = 11,788.80/x
  3. Step 3: Cross multiply
    22,876.92x = 34,287.92 × 11,788.80
  4. Step 4: Simplify right side
    22,876.92x = 404,213,431.30
  5. Step 5: Solve for x
    x = 404,213,431.30/22,876.92
  6. Step 6: Final answer
    x = 17,669.05

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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.