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Finding the Fourth Proportional to 13,530.86, 20,266.02 and 7,824.82

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Solution

The fourth proportional to 13,530.86, 20,266.02 and 7,824.82 is: 11,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.86 : 20,266.02 = 7,824.82 : x
  2. Step 2: Convert to fraction form
    13,530.86/20,266.02 = 7,824.82/x
  3. Step 3: Cross multiply
    13,530.86x = 20,266.02 × 7,824.82
  4. Step 4: Simplify right side
    13,530.86x = 158,577,958.62
  5. Step 5: Solve for x
    x = 158,577,958.62/13,530.86
  6. Step 6: Final answer
    x = 11,719.73

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