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Finding the Fourth Proportional to 20,413.56, 30,620.34 and 5,622.63

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Solution

The fourth proportional to 20,413.56, 30,620.34 and 5,622.63 is: 8,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.56 : 30,620.34 = 5,622.63 : x
  2. Step 2: Convert to fraction form
    20,413.56/30,620.34 = 5,622.63/x
  3. Step 3: Cross multiply
    20,413.56x = 30,620.34 × 5,622.63
  4. Step 4: Simplify right side
    20,413.56x = 172,166,842.29
  5. Step 5: Solve for x
    x = 172,166,842.29/20,413.56
  6. Step 6: Final answer
    x = 8,433.95

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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.