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Finding the Fourth Proportional to 13,746.56, 18,969.12 and 7,778.96

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Solution

The fourth proportional to 13,746.56, 18,969.12 and 7,778.96 is: 10,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.56 : 18,969.12 = 7,778.96 : x
  2. Step 2: Convert to fraction form
    13,746.56/18,969.12 = 7,778.96/x
  3. Step 3: Cross multiply
    13,746.56x = 18,969.12 × 7,778.96
  4. Step 4: Simplify right side
    13,746.56x = 147,560,025.72
  5. Step 5: Solve for x
    x = 147,560,025.72/13,746.56
  6. Step 6: Final answer
    x = 10,734.32

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