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Finding the Fourth Proportional to 13,741.92, 20,609.64 and 4,978.80

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Solution

The fourth proportional to 13,741.92, 20,609.64 and 4,978.80 is: 7,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.92 : 20,609.64 = 4,978.80 : x
  2. Step 2: Convert to fraction form
    13,741.92/20,609.64 = 4,978.80/x
  3. Step 3: Cross multiply
    13,741.92x = 20,609.64 × 4,978.80
  4. Step 4: Simplify right side
    13,741.92x = 102,611,275.63
  5. Step 5: Solve for x
    x = 102,611,275.63/13,741.92
  6. Step 6: Final answer
    x = 7,467.03

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