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Finding the Fourth Proportional to 20,974.74, 31,440.16 and 7,821.82

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Solution

The fourth proportional to 20,974.74, 31,440.16 and 7,821.82 is: 11,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.74 : 31,440.16 = 7,821.82 : x
  2. Step 2: Convert to fraction form
    20,974.74/31,440.16 = 7,821.82/x
  3. Step 3: Cross multiply
    20,974.74x = 31,440.16 × 7,821.82
  4. Step 4: Simplify right side
    20,974.74x = 245,919,272.29
  5. Step 5: Solve for x
    x = 245,919,272.29/20,974.74
  6. Step 6: Final answer
    x = 11,724.54

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