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Finding the Fourth Proportional to 31,782.91, 47,692.60 and 11,806.29

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Solution

The fourth proportional to 31,782.91, 47,692.60 and 11,806.29 is: 17,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.91 : 47,692.60 = 11,806.29 : x
  2. Step 2: Convert to fraction form
    31,782.91/47,692.60 = 11,806.29/x
  3. Step 3: Cross multiply
    31,782.91x = 47,692.60 × 11,806.29
  4. Step 4: Simplify right side
    31,782.91x = 563,072,666.45
  5. Step 5: Solve for x
    x = 563,072,666.45/31,782.91
  6. Step 6: Final answer
    x = 17,716.21

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