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Finding the Fourth Proportional to 13,634.78, 20,449.11 and 5,311.94

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Solution

The fourth proportional to 13,634.78, 20,449.11 and 5,311.94 is: 7,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.78 : 20,449.11 = 5,311.94 : x
  2. Step 2: Convert to fraction form
    13,634.78/20,449.11 = 5,311.94/x
  3. Step 3: Cross multiply
    13,634.78x = 20,449.11 × 5,311.94
  4. Step 4: Simplify right side
    13,634.78x = 108,624,445.37
  5. Step 5: Solve for x
    x = 108,624,445.37/13,634.78
  6. Step 6: Final answer
    x = 7,966.72

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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.