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Finding the Fourth Proportional to 20,823.84, 31,240.78 and 6,033.78

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Solution

The fourth proportional to 20,823.84, 31,240.78 and 6,033.78 is: 9,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.84 : 31,240.78 = 6,033.78 : x
  2. Step 2: Convert to fraction form
    20,823.84/31,240.78 = 6,033.78/x
  3. Step 3: Cross multiply
    20,823.84x = 31,240.78 × 6,033.78
  4. Step 4: Simplify right side
    20,823.84x = 188,499,993.55
  5. Step 5: Solve for x
    x = 188,499,993.55/20,823.84
  6. Step 6: Final answer
    x = 9,052.12

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