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Finding the Fourth Proportional to 13,824.72, 20,742.72 and 7,255.20

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Solution

The fourth proportional to 13,824.72, 20,742.72 and 7,255.20 is: 10,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.72 : 20,742.72 = 7,255.20 : x
  2. Step 2: Convert to fraction form
    13,824.72/20,742.72 = 7,255.20/x
  3. Step 3: Cross multiply
    13,824.72x = 20,742.72 × 7,255.20
  4. Step 4: Simplify right side
    13,824.72x = 150,492,582.14
  5. Step 5: Solve for x
    x = 150,492,582.14/13,824.72
  6. Step 6: Final answer
    x = 10,885.76

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