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Finding the Fourth Proportional to 26,204.50, 39,293.38 and 8,668

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Solution

The fourth proportional to 26,204.50, 39,293.38 and 8,668 is: 12,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.50 : 39,293.38 = 8,668 : x
  2. Step 2: Convert to fraction form
    26,204.50/39,293.38 = 8,668/x
  3. Step 3: Cross multiply
    26,204.50x = 39,293.38 × 8,668
  4. Step 4: Simplify right side
    26,204.50x = 340,595,017.84
  5. Step 5: Solve for x
    x = 340,595,017.84/26,204.50
  6. Step 6: Final answer
    x = 12,997.58

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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.