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Finding the Fourth Proportional to 20,634.48, 30,938.22 and 8,156.16

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Solution

The fourth proportional to 20,634.48, 30,938.22 and 8,156.16 is: 12,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.48 : 30,938.22 = 8,156.16 : x
  2. Step 2: Convert to fraction form
    20,634.48/30,938.22 = 8,156.16/x
  3. Step 3: Cross multiply
    20,634.48x = 30,938.22 × 8,156.16
  4. Step 4: Simplify right side
    20,634.48x = 252,337,072.44
  5. Step 5: Solve for x
    x = 252,337,072.44/20,634.48
  6. Step 6: Final answer
    x = 12,228.90

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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.