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Finding the Fourth Proportional to 16,184.74, 24,286.53 and 6,824.18

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Solution

The fourth proportional to 16,184.74, 24,286.53 and 6,824.18 is: 10,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.74 : 24,286.53 = 6,824.18 : x
  2. Step 2: Convert to fraction form
    16,184.74/24,286.53 = 6,824.18/x
  3. Step 3: Cross multiply
    16,184.74x = 24,286.53 × 6,824.18
  4. Step 4: Simplify right side
    16,184.74x = 165,735,652.30
  5. Step 5: Solve for x
    x = 165,735,652.30/16,184.74
  6. Step 6: Final answer
    x = 10,240.24

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