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Finding the Fourth Proportional to 16,589.36, 24,894.92 and 7,826.80

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Solution

The fourth proportional to 16,589.36, 24,894.92 and 7,826.80 is: 11,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.36 : 24,894.92 = 7,826.80 : x
  2. Step 2: Convert to fraction form
    16,589.36/24,894.92 = 7,826.80/x
  3. Step 3: Cross multiply
    16,589.36x = 24,894.92 × 7,826.80
  4. Step 4: Simplify right side
    16,589.36x = 194,847,559.86
  5. Step 5: Solve for x
    x = 194,847,559.86/16,589.36
  6. Step 6: Final answer
    x = 11,745.33

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