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Finding the Fourth Proportional to 23,414.91, 35,105.97 and 8,621.91

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Solution

The fourth proportional to 23,414.91, 35,105.97 and 8,621.91 is: 12,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.91 : 35,105.97 = 8,621.91 : x
  2. Step 2: Convert to fraction form
    23,414.91/35,105.97 = 8,621.91/x
  3. Step 3: Cross multiply
    23,414.91x = 35,105.97 × 8,621.91
  4. Step 4: Simplify right side
    23,414.91x = 302,680,513.80
  5. Step 5: Solve for x
    x = 302,680,513.80/23,414.91
  6. Step 6: Final answer
    x = 12,926.83

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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.