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Finding the Fourth Proportional to 13,782.48, 20,659.14 and 6,764.64

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Solution

The fourth proportional to 13,782.48, 20,659.14 and 6,764.64 is: 10,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.48 : 20,659.14 = 6,764.64 : x
  2. Step 2: Convert to fraction form
    13,782.48/20,659.14 = 6,764.64/x
  3. Step 3: Cross multiply
    13,782.48x = 20,659.14 × 6,764.64
  4. Step 4: Simplify right side
    13,782.48x = 139,751,644.81
  5. Step 5: Solve for x
    x = 139,751,644.81/13,782.48
  6. Step 6: Final answer
    x = 10,139.80

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