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Finding the Fourth Proportional to 20,715, 31,077.36 and 6,864

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Solution

The fourth proportional to 20,715, 31,077.36 and 6,864 is: 10,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715 : 31,077.36 = 6,864 : x
  2. Step 2: Convert to fraction form
    20,715/31,077.36 = 6,864/x
  3. Step 3: Cross multiply
    20,715x = 31,077.36 × 6,864
  4. Step 4: Simplify right side
    20,715x = 213,314,999.04
  5. Step 5: Solve for x
    x = 213,314,999.04/20,715
  6. Step 6: Final answer
    x = 10,297.61

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