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Finding the Fourth Proportional to 20,413.35, 30,622.82 and 7,262.55

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Solution

The fourth proportional to 20,413.35, 30,622.82 and 7,262.55 is: 10,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.35 : 30,622.82 = 7,262.55 : x
  2. Step 2: Convert to fraction form
    20,413.35/30,622.82 = 7,262.55/x
  3. Step 3: Cross multiply
    20,413.35x = 30,622.82 × 7,262.55
  4. Step 4: Simplify right side
    20,413.35x = 222,399,725.08
  5. Step 5: Solve for x
    x = 222,399,725.08/20,413.35
  6. Step 6: Final answer
    x = 10,894.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.