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Finding the Fourth Proportional to 13,843.40, 20,762.04 and 3,980.48

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Solution

The fourth proportional to 13,843.40, 20,762.04 and 3,980.48 is: 5,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.40 : 20,762.04 = 3,980.48 : x
  2. Step 2: Convert to fraction form
    13,843.40/20,762.04 = 3,980.48/x
  3. Step 3: Cross multiply
    13,843.40x = 20,762.04 × 3,980.48
  4. Step 4: Simplify right side
    13,843.40x = 82,642,884.98
  5. Step 5: Solve for x
    x = 82,642,884.98/13,843.40
  6. Step 6: Final answer
    x = 5,969.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.