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Finding the Fourth Proportional to 20,872.64, 31,310.40 and 7,724.72

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Solution

The fourth proportional to 20,872.64, 31,310.40 and 7,724.72 is: 11,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.64 : 31,310.40 = 7,724.72 : x
  2. Step 2: Convert to fraction form
    20,872.64/31,310.40 = 7,724.72/x
  3. Step 3: Cross multiply
    20,872.64x = 31,310.40 × 7,724.72
  4. Step 4: Simplify right side
    20,872.64x = 241,864,073.09
  5. Step 5: Solve for x
    x = 241,864,073.09/20,872.64
  6. Step 6: Final answer
    x = 11,587.61

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