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Finding the Fourth Proportional to 16,279.87, 24,421.59 and 5,183.95

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Solution

The fourth proportional to 16,279.87, 24,421.59 and 5,183.95 is: 7,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.87 : 24,421.59 = 5,183.95 : x
  2. Step 2: Convert to fraction form
    16,279.87/24,421.59 = 5,183.95/x
  3. Step 3: Cross multiply
    16,279.87x = 24,421.59 × 5,183.95
  4. Step 4: Simplify right side
    16,279.87x = 126,600,301.48
  5. Step 5: Solve for x
    x = 126,600,301.48/16,279.87
  6. Step 6: Final answer
    x = 7,776.49

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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.