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Finding the Fourth Proportional to 13,825.60, 20,739.48 and 6,809.38

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Solution

The fourth proportional to 13,825.60, 20,739.48 and 6,809.38 is: 10,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.60 : 20,739.48 = 6,809.38 : x
  2. Step 2: Convert to fraction form
    13,825.60/20,739.48 = 6,809.38/x
  3. Step 3: Cross multiply
    13,825.60x = 20,739.48 × 6,809.38
  4. Step 4: Simplify right side
    13,825.60x = 141,223,000.32
  5. Step 5: Solve for x
    x = 141,223,000.32/13,825.60
  6. Step 6: Final answer
    x = 10,214.60

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