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Finding the Fourth Proportional to 25,782.80, 38,674.60 and 14,609.64

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Solution

The fourth proportional to 25,782.80, 38,674.60 and 14,609.64 is: 21,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.80 : 38,674.60 = 14,609.64 : x
  2. Step 2: Convert to fraction form
    25,782.80/38,674.60 = 14,609.64/x
  3. Step 3: Cross multiply
    25,782.80x = 38,674.60 × 14,609.64
  4. Step 4: Simplify right side
    25,782.80x = 565,021,983.14
  5. Step 5: Solve for x
    x = 565,021,983.14/25,782.80
  6. Step 6: Final answer
    x = 21,914.69

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