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Finding the Fourth Proportional to 13,539.80, 20,298.90 and 5,742.20

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Solution

The fourth proportional to 13,539.80, 20,298.90 and 5,742.20 is: 8,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.80 : 20,298.90 = 5,742.20 : x
  2. Step 2: Convert to fraction form
    13,539.80/20,298.90 = 5,742.20/x
  3. Step 3: Cross multiply
    13,539.80x = 20,298.90 × 5,742.20
  4. Step 4: Simplify right side
    13,539.80x = 116,560,343.58
  5. Step 5: Solve for x
    x = 116,560,343.58/13,539.80
  6. Step 6: Final answer
    x = 8,608.72

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