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Finding the Fourth Proportional to 13,815.83, 20,709.47 and 6,414.26

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Solution

The fourth proportional to 13,815.83, 20,709.47 and 6,414.26 is: 9,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.83 : 20,709.47 = 6,414.26 : x
  2. Step 2: Convert to fraction form
    13,815.83/20,709.47 = 6,414.26/x
  3. Step 3: Cross multiply
    13,815.83x = 20,709.47 × 6,414.26
  4. Step 4: Simplify right side
    13,815.83x = 132,835,837.53
  5. Step 5: Solve for x
    x = 132,835,837.53/13,815.83
  6. Step 6: Final answer
    x = 9,614.75

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