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Finding the Fourth Proportional to 20,934.41, 31,413.86 and 7,796.09

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Solution

The fourth proportional to 20,934.41, 31,413.86 and 7,796.09 is: 11,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934.41 : 31,413.86 = 7,796.09 : x
  2. Step 2: Convert to fraction form
    20,934.41/31,413.86 = 7,796.09/x
  3. Step 3: Cross multiply
    20,934.41x = 31,413.86 × 7,796.09
  4. Step 4: Simplify right side
    20,934.41x = 244,905,240.83
  5. Step 5: Solve for x
    x = 244,905,240.83/20,934.41
  6. Step 6: Final answer
    x = 11,698.69

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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.