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Finding the Fourth Proportional to 21,469.72, 32,204.68 and 7,609

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Solution

The fourth proportional to 21,469.72, 32,204.68 and 7,609 is: 11,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.72 : 32,204.68 = 7,609 : x
  2. Step 2: Convert to fraction form
    21,469.72/32,204.68 = 7,609/x
  3. Step 3: Cross multiply
    21,469.72x = 32,204.68 × 7,609
  4. Step 4: Simplify right side
    21,469.72x = 245,045,410.12
  5. Step 5: Solve for x
    x = 245,045,410.12/21,469.72
  6. Step 6: Final answer
    x = 11,413.54

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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.