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Finding the Fourth Proportional to 13,758.75, 20,635.39 and 6,735.74

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Solution

The fourth proportional to 13,758.75, 20,635.39 and 6,735.74 is: 10,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.75 : 20,635.39 = 6,735.74 : x
  2. Step 2: Convert to fraction form
    13,758.75/20,635.39 = 6,735.74/x
  3. Step 3: Cross multiply
    13,758.75x = 20,635.39 × 6,735.74
  4. Step 4: Simplify right side
    13,758.75x = 138,994,621.84
  5. Step 5: Solve for x
    x = 138,994,621.84/13,758.75
  6. Step 6: Final answer
    x = 10,102.27

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