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Finding the Fourth Proportional to 13,840.80, 20,768.76 and 6,448.74

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Solution

The fourth proportional to 13,840.80, 20,768.76 and 6,448.74 is: 9,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.80 : 20,768.76 = 6,448.74 : x
  2. Step 2: Convert to fraction form
    13,840.80/20,768.76 = 6,448.74/x
  3. Step 3: Cross multiply
    13,840.80x = 20,768.76 × 6,448.74
  4. Step 4: Simplify right side
    13,840.80x = 133,932,333.36
  5. Step 5: Solve for x
    x = 133,932,333.36/13,840.80
  6. Step 6: Final answer
    x = 9,676.63

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