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Finding the Fourth Proportional to 13,543.14, 20,318.01 and 5,109.75

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Solution

The fourth proportional to 13,543.14, 20,318.01 and 5,109.75 is: 7,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.14 : 20,318.01 = 5,109.75 : x
  2. Step 2: Convert to fraction form
    13,543.14/20,318.01 = 5,109.75/x
  3. Step 3: Cross multiply
    13,543.14x = 20,318.01 × 5,109.75
  4. Step 4: Simplify right side
    13,543.14x = 103,819,951.60
  5. Step 5: Solve for x
    x = 103,819,951.60/13,543.14
  6. Step 6: Final answer
    x = 7,665.87

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