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Finding the Fourth Proportional to 26,450, 39,676.08 and 7,982

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Solution

The fourth proportional to 26,450, 39,676.08 and 7,982 is: 11,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450 : 39,676.08 = 7,982 : x
  2. Step 2: Convert to fraction form
    26,450/39,676.08 = 7,982/x
  3. Step 3: Cross multiply
    26,450x = 39,676.08 × 7,982
  4. Step 4: Simplify right side
    26,450x = 316,694,470.56
  5. Step 5: Solve for x
    x = 316,694,470.56/26,450
  6. Step 6: Final answer
    x = 11,973.33

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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.