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Finding the Fourth Proportional to 23,676.26, 35,520.46 and 8,093.88

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Solution

The fourth proportional to 23,676.26, 35,520.46 and 8,093.88 is: 12,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.26 : 35,520.46 = 8,093.88 : x
  2. Step 2: Convert to fraction form
    23,676.26/35,520.46 = 8,093.88/x
  3. Step 3: Cross multiply
    23,676.26x = 35,520.46 × 8,093.88
  4. Step 4: Simplify right side
    23,676.26x = 287,498,340.78
  5. Step 5: Solve for x
    x = 287,498,340.78/23,676.26
  6. Step 6: Final answer
    x = 12,142.90

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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.