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Finding the Fourth Proportional to 26,486.82, 39,725.91 and 8,014.50

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Solution

The fourth proportional to 26,486.82, 39,725.91 and 8,014.50 is: 12,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.82 : 39,725.91 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    26,486.82/39,725.91 = 8,014.50/x
  3. Step 3: Cross multiply
    26,486.82x = 39,725.91 × 8,014.50
  4. Step 4: Simplify right side
    26,486.82x = 318,383,305.70
  5. Step 5: Solve for x
    x = 318,383,305.70/26,486.82
  6. Step 6: Final answer
    x = 12,020.44

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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.