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Finding the Fourth Proportional to 22,413.90, 33,611.12 and 7,618.84

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Solution

The fourth proportional to 22,413.90, 33,611.12 and 7,618.84 is: 11,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.90 : 33,611.12 = 7,618.84 : x
  2. Step 2: Convert to fraction form
    22,413.90/33,611.12 = 7,618.84/x
  3. Step 3: Cross multiply
    22,413.90x = 33,611.12 × 7,618.84
  4. Step 4: Simplify right side
    22,413.90x = 256,077,745.50
  5. Step 5: Solve for x
    x = 256,077,745.50/22,413.90
  6. Step 6: Final answer
    x = 11,424.95

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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.