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Finding the Fourth Proportional to 22,149.38, 30,579.98 and 14,205.44

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Solution

The fourth proportional to 22,149.38, 30,579.98 and 14,205.44 is: 19,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.38 : 30,579.98 = 14,205.44 : x
  2. Step 2: Convert to fraction form
    22,149.38/30,579.98 = 14,205.44/x
  3. Step 3: Cross multiply
    22,149.38x = 30,579.98 × 14,205.44
  4. Step 4: Simplify right side
    22,149.38x = 434,401,847.16
  5. Step 5: Solve for x
    x = 434,401,847.16/22,149.38
  6. Step 6: Final answer
    x = 19,612.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.