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Finding the Fourth Proportional to 13,604.02, 20,407.14 and 3,744.09

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Solution

The fourth proportional to 13,604.02, 20,407.14 and 3,744.09 is: 5,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.02 : 20,407.14 = 3,744.09 : x
  2. Step 2: Convert to fraction form
    13,604.02/20,407.14 = 3,744.09/x
  3. Step 3: Cross multiply
    13,604.02x = 20,407.14 × 3,744.09
  4. Step 4: Simplify right side
    13,604.02x = 76,406,168.80
  5. Step 5: Solve for x
    x = 76,406,168.80/13,604.02
  6. Step 6: Final answer
    x = 5,616.44

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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.