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Finding the Fourth Proportional to 20,900.92, 31,344.66 and 6,857.14

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Solution

The fourth proportional to 20,900.92, 31,344.66 and 6,857.14 is: 10,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.92 : 31,344.66 = 6,857.14 : x
  2. Step 2: Convert to fraction form
    20,900.92/31,344.66 = 6,857.14/x
  3. Step 3: Cross multiply
    20,900.92x = 31,344.66 × 6,857.14
  4. Step 4: Simplify right side
    20,900.92x = 214,934,721.87
  5. Step 5: Solve for x
    x = 214,934,721.87/20,900.92
  6. Step 6: Final answer
    x = 10,283.51

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