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Finding the Fourth Proportional to 23,208.97, 34,819.11 and 7,413.98

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Solution

The fourth proportional to 23,208.97, 34,819.11 and 7,413.98 is: 11,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.97 : 34,819.11 = 7,413.98 : x
  2. Step 2: Convert to fraction form
    23,208.97/34,819.11 = 7,413.98/x
  3. Step 3: Cross multiply
    23,208.97x = 34,819.11 × 7,413.98
  4. Step 4: Simplify right side
    23,208.97x = 258,148,272.21
  5. Step 5: Solve for x
    x = 258,148,272.21/23,208.97
  6. Step 6: Final answer
    x = 11,122.78

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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.