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Finding the Fourth Proportional to 23,609, 35,413.66 and 7,193

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Solution

The fourth proportional to 23,609, 35,413.66 and 7,193 is: 10,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 35,413.66 = 7,193 : x
  2. Step 2: Convert to fraction form
    23,609/35,413.66 = 7,193/x
  3. Step 3: Cross multiply
    23,609x = 35,413.66 × 7,193
  4. Step 4: Simplify right side
    23,609x = 254,730,456.38
  5. Step 5: Solve for x
    x = 254,730,456.38/23,609
  6. Step 6: Final answer
    x = 10,789.55

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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.