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Finding the Fourth Proportional to 22,078.91, 30,469.68 and 12,649.30

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Solution

The fourth proportional to 22,078.91, 30,469.68 and 12,649.30 is: 17,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.91 : 30,469.68 = 12,649.30 : x
  2. Step 2: Convert to fraction form
    22,078.91/30,469.68 = 12,649.30/x
  3. Step 3: Cross multiply
    22,078.91x = 30,469.68 × 12,649.30
  4. Step 4: Simplify right side
    22,078.91x = 385,420,047.05
  5. Step 5: Solve for x
    x = 385,420,047.05/22,078.91
  6. Step 6: Final answer
    x = 17,456.48

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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.