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Finding the Fourth Proportional to 13,848.32, 20,752.24 and 6,826.24

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Solution

The fourth proportional to 13,848.32, 20,752.24 and 6,826.24 is: 10,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.32 : 20,752.24 = 6,826.24 : x
  2. Step 2: Convert to fraction form
    13,848.32/20,752.24 = 6,826.24/x
  3. Step 3: Cross multiply
    13,848.32x = 20,752.24 × 6,826.24
  4. Step 4: Simplify right side
    13,848.32x = 141,659,770.78
  5. Step 5: Solve for x
    x = 141,659,770.78/13,848.32
  6. Step 6: Final answer
    x = 10,229.38

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