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Finding the Fourth Proportional to 26,205.50, 39,300.96 and 8,676.70

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Solution

The fourth proportional to 26,205.50, 39,300.96 and 8,676.70 is: 13,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.50 : 39,300.96 = 8,676.70 : x
  2. Step 2: Convert to fraction form
    26,205.50/39,300.96 = 8,676.70/x
  3. Step 3: Cross multiply
    26,205.50x = 39,300.96 × 8,676.70
  4. Step 4: Simplify right side
    26,205.50x = 341,002,573.92
  5. Step 5: Solve for x
    x = 341,002,573.92/26,205.50
  6. Step 6: Final answer
    x = 13,012.63

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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.