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Finding the Fourth Proportional to 20,823.16, 31,238.92 and 7,675.60

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Solution

The fourth proportional to 20,823.16, 31,238.92 and 7,675.60 is: 11,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.16 : 31,238.92 = 7,675.60 : x
  2. Step 2: Convert to fraction form
    20,823.16/31,238.92 = 7,675.60/x
  3. Step 3: Cross multiply
    20,823.16x = 31,238.92 × 7,675.60
  4. Step 4: Simplify right side
    20,823.16x = 239,777,454.35
  5. Step 5: Solve for x
    x = 239,777,454.35/20,823.16
  6. Step 6: Final answer
    x = 11,514.94

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