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Finding the Fourth Proportional to 16,120.22, 24,177.89 and 5,446.44

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Solution

The fourth proportional to 16,120.22, 24,177.89 and 5,446.44 is: 8,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.22 : 24,177.89 = 5,446.44 : x
  2. Step 2: Convert to fraction form
    16,120.22/24,177.89 = 5,446.44/x
  3. Step 3: Cross multiply
    16,120.22x = 24,177.89 × 5,446.44
  4. Step 4: Simplify right side
    16,120.22x = 131,683,440.83
  5. Step 5: Solve for x
    x = 131,683,440.83/16,120.22
  6. Step 6: Final answer
    x = 8,168.84

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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.