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Finding the Fourth Proportional to 20,964.56, 31,440.35 and 7,823.12

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Solution

The fourth proportional to 20,964.56, 31,440.35 and 7,823.12 is: 11,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.56 : 31,440.35 = 7,823.12 : x
  2. Step 2: Convert to fraction form
    20,964.56/31,440.35 = 7,823.12/x
  3. Step 3: Cross multiply
    20,964.56x = 31,440.35 × 7,823.12
  4. Step 4: Simplify right side
    20,964.56x = 245,961,493.25
  5. Step 5: Solve for x
    x = 245,961,493.25/20,964.56
  6. Step 6: Final answer
    x = 11,732.25

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