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Finding the Fourth Proportional to 20,822.29, 31,245.65 and 7,683.82

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Solution

The fourth proportional to 20,822.29, 31,245.65 and 7,683.82 is: 11,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.29 : 31,245.65 = 7,683.82 : x
  2. Step 2: Convert to fraction form
    20,822.29/31,245.65 = 7,683.82/x
  3. Step 3: Cross multiply
    20,822.29x = 31,245.65 × 7,683.82
  4. Step 4: Simplify right side
    20,822.29x = 240,085,950.38
  5. Step 5: Solve for x
    x = 240,085,950.38/20,822.29
  6. Step 6: Final answer
    x = 11,530.24

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