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Finding the Fourth Proportional to 22,271.92, 30,736 and 12,200.96

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Solution

The fourth proportional to 22,271.92, 30,736 and 12,200.96 is: 16,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.92 : 30,736 = 12,200.96 : x
  2. Step 2: Convert to fraction form
    22,271.92/30,736 = 12,200.96/x
  3. Step 3: Cross multiply
    22,271.92x = 30,736 × 12,200.96
  4. Step 4: Simplify right side
    22,271.92x = 375,008,706.56
  5. Step 5: Solve for x
    x = 375,008,706.56/22,271.92
  6. Step 6: Final answer
    x = 16,837.74

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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.