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Finding the Fourth Proportional to 26,203.50, 39,291.89 and 8,667

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Solution

The fourth proportional to 26,203.50, 39,291.89 and 8,667 is: 12,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,203.50 : 39,291.89 = 8,667 : x
  2. Step 2: Convert to fraction form
    26,203.50/39,291.89 = 8,667/x
  3. Step 3: Cross multiply
    26,203.50x = 39,291.89 × 8,667
  4. Step 4: Simplify right side
    26,203.50x = 340,542,767.30
  5. Step 5: Solve for x
    x = 340,542,767.30/26,203.50
  6. Step 6: Final answer
    x = 12,996.08

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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.