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Finding the Fourth Proportional to 13,635.36, 20,454.20 and 3,774.64

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Solution

The fourth proportional to 13,635.36, 20,454.20 and 3,774.64 is: 5,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.36 : 20,454.20 = 3,774.64 : x
  2. Step 2: Convert to fraction form
    13,635.36/20,454.20 = 3,774.64/x
  3. Step 3: Cross multiply
    13,635.36x = 20,454.20 × 3,774.64
  4. Step 4: Simplify right side
    13,635.36x = 77,207,241.49
  5. Step 5: Solve for x
    x = 77,207,241.49/13,635.36
  6. Step 6: Final answer
    x = 5,662.28

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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.