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Finding the Fourth Proportional to 13,873.82, 20,800.98 and 5,107.60

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Solution

The fourth proportional to 13,873.82, 20,800.98 and 5,107.60 is: 7,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.82 : 20,800.98 = 5,107.60 : x
  2. Step 2: Convert to fraction form
    13,873.82/20,800.98 = 5,107.60/x
  3. Step 3: Cross multiply
    13,873.82x = 20,800.98 × 5,107.60
  4. Step 4: Simplify right side
    13,873.82x = 106,243,085.45
  5. Step 5: Solve for x
    x = 106,243,085.45/13,873.82
  6. Step 6: Final answer
    x = 7,657.81

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