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Finding the Fourth Proportional to 24,589.94, 33,932.85 and 13,409.78

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Solution

The fourth proportional to 24,589.94, 33,932.85 and 13,409.78 is: 18,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.94 : 33,932.85 = 13,409.78 : x
  2. Step 2: Convert to fraction form
    24,589.94/33,932.85 = 13,409.78/x
  3. Step 3: Cross multiply
    24,589.94x = 33,932.85 × 13,409.78
  4. Step 4: Simplify right side
    24,589.94x = 455,032,053.27
  5. Step 5: Solve for x
    x = 455,032,053.27/24,589.94
  6. Step 6: Final answer
    x = 18,504.81

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