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Finding the Fourth Proportional to 22,193.50, 30,627.04 and 12,257.50

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Solution

The fourth proportional to 22,193.50, 30,627.04 and 12,257.50 is: 16,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.50 : 30,627.04 = 12,257.50 : x
  2. Step 2: Convert to fraction form
    22,193.50/30,627.04 = 12,257.50/x
  3. Step 3: Cross multiply
    22,193.50x = 30,627.04 × 12,257.50
  4. Step 4: Simplify right side
    22,193.50x = 375,410,942.80
  5. Step 5: Solve for x
    x = 375,410,942.80/22,193.50
  6. Step 6: Final answer
    x = 16,915.36

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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.