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Finding the Fourth Proportional to 16,234.38, 22,403.88 and 9,520.56

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Solution

The fourth proportional to 16,234.38, 22,403.88 and 9,520.56 is: 13,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.38 : 22,403.88 = 9,520.56 : x
  2. Step 2: Convert to fraction form
    16,234.38/22,403.88 = 9,520.56/x
  3. Step 3: Cross multiply
    16,234.38x = 22,403.88 × 9,520.56
  4. Step 4: Simplify right side
    16,234.38x = 213,297,483.77
  5. Step 5: Solve for x
    x = 213,297,483.77/16,234.38
  6. Step 6: Final answer
    x = 13,138.63

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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.