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Finding the Fourth Proportional to 26,665, 40,003.98 and 8,197

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Solution

The fourth proportional to 26,665, 40,003.98 and 8,197 is: 12,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,665 : 40,003.98 = 8,197 : x
  2. Step 2: Convert to fraction form
    26,665/40,003.98 = 8,197/x
  3. Step 3: Cross multiply
    26,665x = 40,003.98 × 8,197
  4. Step 4: Simplify right side
    26,665x = 327,912,624.06
  5. Step 5: Solve for x
    x = 327,912,624.06/26,665
  6. Step 6: Final answer
    x = 12,297.49

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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.