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Finding the Fourth Proportional to 22,812.80, 34,219.20 and 11,148.80

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Solution

The fourth proportional to 22,812.80, 34,219.20 and 11,148.80 is: 16,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.80 : 34,219.20 = 11,148.80 : x
  2. Step 2: Convert to fraction form
    22,812.80/34,219.20 = 11,148.80/x
  3. Step 3: Cross multiply
    22,812.80x = 34,219.20 × 11,148.80
  4. Step 4: Simplify right side
    22,812.80x = 381,503,016.96
  5. Step 5: Solve for x
    x = 381,503,016.96/22,812.80
  6. Step 6: Final answer
    x = 16,723.20

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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.