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Finding the Fourth Proportional to 20,413.92, 30,615.84 and 5,622.16

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Solution

The fourth proportional to 20,413.92, 30,615.84 and 5,622.16 is: 8,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.92 : 30,615.84 = 5,622.16 : x
  2. Step 2: Convert to fraction form
    20,413.92/30,615.84 = 5,622.16/x
  3. Step 3: Cross multiply
    20,413.92x = 30,615.84 × 5,622.16
  4. Step 4: Simplify right side
    20,413.92x = 172,127,151.01
  5. Step 5: Solve for x
    x = 172,127,151.01/20,413.92
  6. Step 6: Final answer
    x = 8,431.85

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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.