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Finding the Fourth Proportional to 20,455.86, 30,683.79 and 5,664.78

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Solution

The fourth proportional to 20,455.86, 30,683.79 and 5,664.78 is: 8,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.86 : 30,683.79 = 5,664.78 : x
  2. Step 2: Convert to fraction form
    20,455.86/30,683.79 = 5,664.78/x
  3. Step 3: Cross multiply
    20,455.86x = 30,683.79 × 5,664.78
  4. Step 4: Simplify right side
    20,455.86x = 173,816,738.17
  5. Step 5: Solve for x
    x = 173,816,738.17/20,455.86
  6. Step 6: Final answer
    x = 8,497.16

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