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Finding the Fourth Proportional to 13,782.87, 20,674.53 and 3,922.40

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Solution

The fourth proportional to 13,782.87, 20,674.53 and 3,922.40 is: 5,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.87 : 20,674.53 = 3,922.40 : x
  2. Step 2: Convert to fraction form
    13,782.87/20,674.53 = 3,922.40/x
  3. Step 3: Cross multiply
    13,782.87x = 20,674.53 × 3,922.40
  4. Step 4: Simplify right side
    13,782.87x = 81,093,828.16
  5. Step 5: Solve for x
    x = 81,093,828.16/13,782.87
  6. Step 6: Final answer
    x = 5,883.67

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