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Finding the Fourth Proportional to 16,142.34, 24,202.34 and 8,229.50

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Solution

The fourth proportional to 16,142.34, 24,202.34 and 8,229.50 is: 12,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.34 : 24,202.34 = 8,229.50 : x
  2. Step 2: Convert to fraction form
    16,142.34/24,202.34 = 8,229.50/x
  3. Step 3: Cross multiply
    16,142.34x = 24,202.34 × 8,229.50
  4. Step 4: Simplify right side
    16,142.34x = 199,173,162.78
  5. Step 5: Solve for x
    x = 199,173,162.78/16,142.34
  6. Step 6: Final answer
    x = 12,338.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.