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Finding the Fourth Proportional to 13,630.78, 20,446.17 and 3,635.56

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Solution

The fourth proportional to 13,630.78, 20,446.17 and 3,635.56 is: 5,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.78 : 20,446.17 = 3,635.56 : x
  2. Step 2: Convert to fraction form
    13,630.78/20,446.17 = 3,635.56/x
  3. Step 3: Cross multiply
    13,630.78x = 20,446.17 × 3,635.56
  4. Step 4: Simplify right side
    13,630.78x = 74,333,252.67
  5. Step 5: Solve for x
    x = 74,333,252.67/13,630.78
  6. Step 6: Final answer
    x = 5,453.34

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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.