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Finding the Fourth Proportional to 24,743.92, 37,107.96 and 8,099.44

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Solution

The fourth proportional to 24,743.92, 37,107.96 and 8,099.44 is: 12,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.92 : 37,107.96 = 8,099.44 : x
  2. Step 2: Convert to fraction form
    24,743.92/37,107.96 = 8,099.44/x
  3. Step 3: Cross multiply
    24,743.92x = 37,107.96 × 8,099.44
  4. Step 4: Simplify right side
    24,743.92x = 300,553,695.54
  5. Step 5: Solve for x
    x = 300,553,695.54/24,743.92
  6. Step 6: Final answer
    x = 12,146.57

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1.5x scale

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.