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Finding the Fourth Proportional to 20,649.67, 30,974.50 and 8,962.63

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Solution

The fourth proportional to 20,649.67, 30,974.50 and 8,962.63 is: 13,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.67 : 30,974.50 = 8,962.63 : x
  2. Step 2: Convert to fraction form
    20,649.67/30,974.50 = 8,962.63/x
  3. Step 3: Cross multiply
    20,649.67x = 30,974.50 × 8,962.63
  4. Step 4: Simplify right side
    20,649.67x = 277,612,982.94
  5. Step 5: Solve for x
    x = 277,612,982.94/20,649.67
  6. Step 6: Final answer
    x = 13,443.94

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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.