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Finding the Fourth Proportional to 22,896.72, 31,590.30 and 12,823.80

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Solution

The fourth proportional to 22,896.72, 31,590.30 and 12,823.80 is: 17,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.72 : 31,590.30 = 12,823.80 : x
  2. Step 2: Convert to fraction form
    22,896.72/31,590.30 = 12,823.80/x
  3. Step 3: Cross multiply
    22,896.72x = 31,590.30 × 12,823.80
  4. Step 4: Simplify right side
    22,896.72x = 405,107,689.14
  5. Step 5: Solve for x
    x = 405,107,689.14/22,896.72
  6. Step 6: Final answer
    x = 17,692.83

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