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Finding the Fourth Proportional to 13,504.76, 20,257.14 and 3,644.04

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Solution

The fourth proportional to 13,504.76, 20,257.14 and 3,644.04 is: 5,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.76 : 20,257.14 = 3,644.04 : x
  2. Step 2: Convert to fraction form
    13,504.76/20,257.14 = 3,644.04/x
  3. Step 3: Cross multiply
    13,504.76x = 20,257.14 × 3,644.04
  4. Step 4: Simplify right side
    13,504.76x = 73,817,787.05
  5. Step 5: Solve for x
    x = 73,817,787.05/13,504.76
  6. Step 6: Final answer
    x = 5,466.06

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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.