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Finding the Fourth Proportional to 31,596.64, 47,409.62 and 13,824.96

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Solution

The fourth proportional to 31,596.64, 47,409.62 and 13,824.96 is: 20,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.64 : 47,409.62 = 13,824.96 : x
  2. Step 2: Convert to fraction form
    31,596.64/47,409.62 = 13,824.96/x
  3. Step 3: Cross multiply
    31,596.64x = 47,409.62 × 13,824.96
  4. Step 4: Simplify right side
    31,596.64x = 655,436,100.12
  5. Step 5: Solve for x
    x = 655,436,100.12/31,596.64
  6. Step 6: Final answer
    x = 20,743.85

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