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Finding the Fourth Proportional to 20,413.77, 30,612.96 and 7,083.41

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Solution

The fourth proportional to 20,413.77, 30,612.96 and 7,083.41 is: 10,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.77 : 30,612.96 = 7,083.41 : x
  2. Step 2: Convert to fraction form
    20,413.77/30,612.96 = 7,083.41/x
  3. Step 3: Cross multiply
    20,413.77x = 30,612.96 × 7,083.41
  4. Step 4: Simplify right side
    20,413.77x = 216,843,993.93
  5. Step 5: Solve for x
    x = 216,843,993.93/20,413.77
  6. Step 6: Final answer
    x = 10,622.44

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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.