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Finding the Fourth Proportional to 31,640.98, 47,424.74 and 11,906.96

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Solution

The fourth proportional to 31,640.98, 47,424.74 and 11,906.96 is: 17,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.98 : 47,424.74 = 11,906.96 : x
  2. Step 2: Convert to fraction form
    31,640.98/47,424.74 = 11,906.96/x
  3. Step 3: Cross multiply
    31,640.98x = 47,424.74 × 11,906.96
  4. Step 4: Simplify right side
    31,640.98x = 564,684,482.19
  5. Step 5: Solve for x
    x = 564,684,482.19/31,640.98
  6. Step 6: Final answer
    x = 17,846.62

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