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Finding the Fourth Proportional to 16,072.75, 22,180.49 and 8,902.90

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Solution

The fourth proportional to 16,072.75, 22,180.49 and 8,902.90 is: 12,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.75 : 22,180.49 = 8,902.90 : x
  2. Step 2: Convert to fraction form
    16,072.75/22,180.49 = 8,902.90/x
  3. Step 3: Cross multiply
    16,072.75x = 22,180.49 × 8,902.90
  4. Step 4: Simplify right side
    16,072.75x = 197,470,684.42
  5. Step 5: Solve for x
    x = 197,470,684.42/16,072.75
  6. Step 6: Final answer
    x = 12,286.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.