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Finding the Fourth Proportional to 13,333.67, 19,976.80 and 7,782.34

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Solution

The fourth proportional to 13,333.67, 19,976.80 and 7,782.34 is: 11,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.67 : 19,976.80 = 7,782.34 : x
  2. Step 2: Convert to fraction form
    13,333.67/19,976.80 = 7,782.34/x
  3. Step 3: Cross multiply
    13,333.67x = 19,976.80 × 7,782.34
  4. Step 4: Simplify right side
    13,333.67x = 155,466,249.71
  5. Step 5: Solve for x
    x = 155,466,249.71/13,333.67
  6. Step 6: Final answer
    x = 11,659.67

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