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Finding the Fourth Proportional to 13,760.74, 20,647.94 and 5,446.72

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Solution

The fourth proportional to 13,760.74, 20,647.94 and 5,446.72 is: 8,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.74 : 20,647.94 = 5,446.72 : x
  2. Step 2: Convert to fraction form
    13,760.74/20,647.94 = 5,446.72/x
  3. Step 3: Cross multiply
    13,760.74x = 20,647.94 × 5,446.72
  4. Step 4: Simplify right side
    13,760.74x = 112,463,503.58
  5. Step 5: Solve for x
    x = 112,463,503.58/13,760.74
  6. Step 6: Final answer
    x = 8,172.78

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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.