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Finding the Fourth Proportional to 13,875.76, 20,813.64 and 5,107.44

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Solution

The fourth proportional to 13,875.76, 20,813.64 and 5,107.44 is: 7,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.76 : 20,813.64 = 5,107.44 : x
  2. Step 2: Convert to fraction form
    13,875.76/20,813.64 = 5,107.44/x
  3. Step 3: Cross multiply
    13,875.76x = 20,813.64 × 5,107.44
  4. Step 4: Simplify right side
    13,875.76x = 106,304,417.48
  5. Step 5: Solve for x
    x = 106,304,417.48/13,875.76
  6. Step 6: Final answer
    x = 7,661.16

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