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Finding the Fourth Proportional to 13,833.81, 20,745.61 and 4,946.74

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Solution

The fourth proportional to 13,833.81, 20,745.61 and 4,946.74 is: 7,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.81 : 20,745.61 = 4,946.74 : x
  2. Step 2: Convert to fraction form
    13,833.81/20,745.61 = 4,946.74/x
  3. Step 3: Cross multiply
    13,833.81x = 20,745.61 × 4,946.74
  4. Step 4: Simplify right side
    13,833.81x = 102,623,138.81
  5. Step 5: Solve for x
    x = 102,623,138.81/13,833.81
  6. Step 6: Final answer
    x = 7,418.28

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