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Finding the Fourth Proportional to 20,801.56, 31,202.22 and 10,413.16

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Solution

The fourth proportional to 20,801.56, 31,202.22 and 10,413.16 is: 15,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.56 : 31,202.22 = 10,413.16 : x
  2. Step 2: Convert to fraction form
    20,801.56/31,202.22 = 10,413.16/x
  3. Step 3: Cross multiply
    20,801.56x = 31,202.22 × 10,413.16
  4. Step 4: Simplify right side
    20,801.56x = 324,913,709.22
  5. Step 5: Solve for x
    x = 324,913,709.22/20,801.56
  6. Step 6: Final answer
    x = 15,619.68

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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.