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Finding the Fourth Proportional to 20,986.72, 31,492.24 and 7,838.60

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Solution

The fourth proportional to 20,986.72, 31,492.24 and 7,838.60 is: 11,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.72 : 31,492.24 = 7,838.60 : x
  2. Step 2: Convert to fraction form
    20,986.72/31,492.24 = 7,838.60/x
  3. Step 3: Cross multiply
    20,986.72x = 31,492.24 × 7,838.60
  4. Step 4: Simplify right side
    20,986.72x = 246,855,072.46
  5. Step 5: Solve for x
    x = 246,855,072.46/20,986.72
  6. Step 6: Final answer
    x = 11,762.44

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