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Finding the Fourth Proportional to 13,873, 20,811.57 and 5,107.24

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Solution

The fourth proportional to 13,873, 20,811.57 and 5,107.24 is: 7,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873 : 20,811.57 = 5,107.24 : x
  2. Step 2: Convert to fraction form
    13,873/20,811.57 = 5,107.24/x
  3. Step 3: Cross multiply
    13,873x = 20,811.57 × 5,107.24
  4. Step 4: Simplify right side
    13,873x = 106,289,682.77
  5. Step 5: Solve for x
    x = 106,289,682.77/13,873
  6. Step 6: Final answer
    x = 7,661.62

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