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Finding the Fourth Proportional to 31,771.40, 47,657.44 and 9,584.97

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Solution

The fourth proportional to 31,771.40, 47,657.44 and 9,584.97 is: 14,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.40 : 47,657.44 = 9,584.97 : x
  2. Step 2: Convert to fraction form
    31,771.40/47,657.44 = 9,584.97/x
  3. Step 3: Cross multiply
    31,771.40x = 47,657.44 × 9,584.97
  4. Step 4: Simplify right side
    31,771.40x = 456,795,013.53
  5. Step 5: Solve for x
    x = 456,795,013.53/31,771.40
  6. Step 6: Final answer
    x = 14,377.55

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