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Finding the Fourth Proportional to 16,277.04, 24,414.22 and 5,183.28

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Solution

The fourth proportional to 16,277.04, 24,414.22 and 5,183.28 is: 7,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.04 : 24,414.22 = 5,183.28 : x
  2. Step 2: Convert to fraction form
    16,277.04/24,414.22 = 5,183.28/x
  3. Step 3: Cross multiply
    16,277.04x = 24,414.22 × 5,183.28
  4. Step 4: Simplify right side
    16,277.04x = 126,545,738.24
  5. Step 5: Solve for x
    x = 126,545,738.24/16,277.04
  6. Step 6: Final answer
    x = 7,774.49

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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.