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Finding the Fourth Proportional to 13,685.76, 20,527.36 and 3,825.92

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Solution

The fourth proportional to 13,685.76, 20,527.36 and 3,825.92 is: 5,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.76 : 20,527.36 = 3,825.92 : x
  2. Step 2: Convert to fraction form
    13,685.76/20,527.36 = 3,825.92/x
  3. Step 3: Cross multiply
    13,685.76x = 20,527.36 × 3,825.92
  4. Step 4: Simplify right side
    13,685.76x = 78,536,037.17
  5. Step 5: Solve for x
    x = 78,536,037.17/13,685.76
  6. Step 6: Final answer
    x = 5,738.52

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