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Finding the Fourth Proportional to 13,688.75, 20,533.14 and 3,828.02

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Solution

The fourth proportional to 13,688.75, 20,533.14 and 3,828.02 is: 5,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.75 : 20,533.14 = 3,828.02 : x
  2. Step 2: Convert to fraction form
    13,688.75/20,533.14 = 3,828.02/x
  3. Step 3: Cross multiply
    13,688.75x = 20,533.14 × 3,828.02
  4. Step 4: Simplify right side
    13,688.75x = 78,601,167.92
  5. Step 5: Solve for x
    x = 78,601,167.92/13,688.75
  6. Step 6: Final answer
    x = 5,742.03

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