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Finding the Fourth Proportional to 13,782.45, 20,677.60 and 6,764.57

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Solution

The fourth proportional to 13,782.45, 20,677.60 and 6,764.57 is: 10,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.45 : 20,677.60 = 6,764.57 : x
  2. Step 2: Convert to fraction form
    13,782.45/20,677.60 = 6,764.57/x
  3. Step 3: Cross multiply
    13,782.45x = 20,677.60 × 6,764.57
  4. Step 4: Simplify right side
    13,782.45x = 139,875,055.24
  5. Step 5: Solve for x
    x = 139,875,055.24/13,782.45
  6. Step 6: Final answer
    x = 10,148.78

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