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Finding the Fourth Proportional to 20,438.81, 30,657.92 and 5,647.40

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Solution

The fourth proportional to 20,438.81, 30,657.92 and 5,647.40 is: 8,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.81 : 30,657.92 = 5,647.40 : x
  2. Step 2: Convert to fraction form
    20,438.81/30,657.92 = 5,647.40/x
  3. Step 3: Cross multiply
    20,438.81x = 30,657.92 × 5,647.40
  4. Step 4: Simplify right side
    20,438.81x = 173,137,643.30
  5. Step 5: Solve for x
    x = 173,137,643.30/20,438.81
  6. Step 6: Final answer
    x = 8,471.02

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