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Finding the Fourth Proportional to 31,571.22, 47,364.48 and 11,850

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Solution

The fourth proportional to 31,571.22, 47,364.48 and 11,850 is: 17,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.22 : 47,364.48 = 11,850 : x
  2. Step 2: Convert to fraction form
    31,571.22/47,364.48 = 11,850/x
  3. Step 3: Cross multiply
    31,571.22x = 47,364.48 × 11,850
  4. Step 4: Simplify right side
    31,571.22x = 561,269,088
  5. Step 5: Solve for x
    x = 561,269,088/31,571.22
  6. Step 6: Final answer
    x = 17,777.87

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