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Finding the Fourth Proportional to 22,912.80, 34,380 and 11,219.52

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Solution

The fourth proportional to 22,912.80, 34,380 and 11,219.52 is: 16,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.80 : 34,380 = 11,219.52 : x
  2. Step 2: Convert to fraction form
    22,912.80/34,380 = 11,219.52/x
  3. Step 3: Cross multiply
    22,912.80x = 34,380 × 11,219.52
  4. Step 4: Simplify right side
    22,912.80x = 385,727,097.60
  5. Step 5: Solve for x
    x = 385,727,097.60/22,912.80
  6. Step 6: Final answer
    x = 16,834.57

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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.