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Finding the Fourth Proportional to 23,225, 34,843.26 and 6,809

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Solution

The fourth proportional to 23,225, 34,843.26 and 6,809 is: 10,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225 : 34,843.26 = 6,809 : x
  2. Step 2: Convert to fraction form
    23,225/34,843.26 = 6,809/x
  3. Step 3: Cross multiply
    23,225x = 34,843.26 × 6,809
  4. Step 4: Simplify right side
    23,225x = 237,247,757.34
  5. Step 5: Solve for x
    x = 237,247,757.34/23,225
  6. Step 6: Final answer
    x = 10,215.19

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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.