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Finding the Fourth Proportional to 20,413.97, 30,624.53 and 9,321.77

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Solution

The fourth proportional to 20,413.97, 30,624.53 and 9,321.77 is: 13,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.97 : 30,624.53 = 9,321.77 : x
  2. Step 2: Convert to fraction form
    20,413.97/30,624.53 = 9,321.77/x
  3. Step 3: Cross multiply
    20,413.97x = 30,624.53 × 9,321.77
  4. Step 4: Simplify right side
    20,413.97x = 285,474,778.41
  5. Step 5: Solve for x
    x = 285,474,778.41/20,413.97
  6. Step 6: Final answer
    x = 13,984.29

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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.