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Finding the Fourth Proportional to 25,896.64, 38,839.34 and 9,257.83

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Solution

The fourth proportional to 25,896.64, 38,839.34 and 9,257.83 is: 13,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.64 : 38,839.34 = 9,257.83 : x
  2. Step 2: Convert to fraction form
    25,896.64/38,839.34 = 9,257.83/x
  3. Step 3: Cross multiply
    25,896.64x = 38,839.34 × 9,257.83
  4. Step 4: Simplify right side
    25,896.64x = 359,568,030.18
  5. Step 5: Solve for x
    x = 359,568,030.18/25,896.64
  6. Step 6: Final answer
    x = 13,884.74

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