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Finding the Fourth Proportional to 23,788.14, 35,698.59 and 8,205.75

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Solution

The fourth proportional to 23,788.14, 35,698.59 and 8,205.75 is: 12,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.14 : 35,698.59 = 8,205.75 : x
  2. Step 2: Convert to fraction form
    23,788.14/35,698.59 = 8,205.75/x
  3. Step 3: Cross multiply
    23,788.14x = 35,698.59 × 8,205.75
  4. Step 4: Simplify right side
    23,788.14x = 292,933,704.89
  5. Step 5: Solve for x
    x = 292,933,704.89/23,788.14
  6. Step 6: Final answer
    x = 12,314.28

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