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Finding the Fourth Proportional to 13,737.96, 20,604.44 and 3,874.91

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Solution

The fourth proportional to 13,737.96, 20,604.44 and 3,874.91 is: 5,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.96 : 20,604.44 = 3,874.91 : x
  2. Step 2: Convert to fraction form
    13,737.96/20,604.44 = 3,874.91/x
  3. Step 3: Cross multiply
    13,737.96x = 20,604.44 × 3,874.91
  4. Step 4: Simplify right side
    13,737.96x = 79,840,257.27
  5. Step 5: Solve for x
    x = 79,840,257.27/13,737.96
  6. Step 6: Final answer
    x = 5,811.65

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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.