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Finding the Fourth Proportional to 20,942.94, 31,416.12 and 7,792.14

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Solution

The fourth proportional to 20,942.94, 31,416.12 and 7,792.14 is: 11,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.94 : 31,416.12 = 7,792.14 : x
  2. Step 2: Convert to fraction form
    20,942.94/31,416.12 = 7,792.14/x
  3. Step 3: Cross multiply
    20,942.94x = 31,416.12 × 7,792.14
  4. Step 4: Simplify right side
    20,942.94x = 244,798,805.30
  5. Step 5: Solve for x
    x = 244,798,805.30/20,942.94
  6. Step 6: Final answer
    x = 11,688.85

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