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Finding the Fourth Proportional to 13,685.16, 20,527.80 and 3,824.46

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Solution

The fourth proportional to 13,685.16, 20,527.80 and 3,824.46 is: 5,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.16 : 20,527.80 = 3,824.46 : x
  2. Step 2: Convert to fraction form
    13,685.16/20,527.80 = 3,824.46/x
  3. Step 3: Cross multiply
    13,685.16x = 20,527.80 × 3,824.46
  4. Step 4: Simplify right side
    13,685.16x = 78,507,749.99
  5. Step 5: Solve for x
    x = 78,507,749.99/13,685.16
  6. Step 6: Final answer
    x = 5,736.71

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