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Finding the Fourth Proportional to 21,866.64, 32,791.92 and 7,822.86

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Solution

The fourth proportional to 21,866.64, 32,791.92 and 7,822.86 is: 11,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.64 : 32,791.92 = 7,822.86 : x
  2. Step 2: Convert to fraction form
    21,866.64/32,791.92 = 7,822.86/x
  3. Step 3: Cross multiply
    21,866.64x = 32,791.92 × 7,822.86
  4. Step 4: Simplify right side
    21,866.64x = 256,526,692.93
  5. Step 5: Solve for x
    x = 256,526,692.93/21,866.64
  6. Step 6: Final answer
    x = 11,731.42

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