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Finding the Fourth Proportional to 13,564.83, 18,720.50 and 7,823.21

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Solution

The fourth proportional to 13,564.83, 18,720.50 and 7,823.21 is: 10,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.83 : 18,720.50 = 7,823.21 : x
  2. Step 2: Convert to fraction form
    13,564.83/18,720.50 = 7,823.21/x
  3. Step 3: Cross multiply
    13,564.83x = 18,720.50 × 7,823.21
  4. Step 4: Simplify right side
    13,564.83x = 146,454,410.49
  5. Step 5: Solve for x
    x = 146,454,410.49/13,564.83
  6. Step 6: Final answer
    x = 10,796.63

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