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Finding the Fourth Proportional to 31,596.42, 47,403.42 and 13,823.91

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Solution

The fourth proportional to 31,596.42, 47,403.42 and 13,823.91 is: 20,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.42 : 47,403.42 = 13,823.91 : x
  2. Step 2: Convert to fraction form
    31,596.42/47,403.42 = 13,823.91/x
  3. Step 3: Cross multiply
    31,596.42x = 47,403.42 × 13,823.91
  4. Step 4: Simplify right side
    31,596.42x = 655,300,611.77
  5. Step 5: Solve for x
    x = 655,300,611.77/31,596.42
  6. Step 6: Final answer
    x = 20,739.71

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