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Finding the Fourth Proportional to 13,504.93, 20,257.40 and 3,644.19

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Solution

The fourth proportional to 13,504.93, 20,257.40 and 3,644.19 is: 5,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.93 : 20,257.40 = 3,644.19 : x
  2. Step 2: Convert to fraction form
    13,504.93/20,257.40 = 3,644.19/x
  3. Step 3: Cross multiply
    13,504.93x = 20,257.40 × 3,644.19
  4. Step 4: Simplify right side
    13,504.93x = 73,821,885.92
  5. Step 5: Solve for x
    x = 73,821,885.92/13,504.93
  6. Step 6: Final answer
    x = 5,466.29

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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.