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Finding the Fourth Proportional to 20,974.01, 28,944.25 and 11,413.96

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Solution

The fourth proportional to 20,974.01, 28,944.25 and 11,413.96 is: 15,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.01 : 28,944.25 = 11,413.96 : x
  2. Step 2: Convert to fraction form
    20,974.01/28,944.25 = 11,413.96/x
  3. Step 3: Cross multiply
    20,974.01x = 28,944.25 × 11,413.96
  4. Step 4: Simplify right side
    20,974.01x = 330,368,410.83
  5. Step 5: Solve for x
    x = 330,368,410.83/20,974.01
  6. Step 6: Final answer
    x = 15,751.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.