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Finding the Fourth Proportional to 16,493.72, 24,738.18 and 5,400.85

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Solution

The fourth proportional to 16,493.72, 24,738.18 and 5,400.85 is: 8,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.72 : 24,738.18 = 5,400.85 : x
  2. Step 2: Convert to fraction form
    16,493.72/24,738.18 = 5,400.85/x
  3. Step 3: Cross multiply
    16,493.72x = 24,738.18 × 5,400.85
  4. Step 4: Simplify right side
    16,493.72x = 133,607,199.45
  5. Step 5: Solve for x
    x = 133,607,199.45/16,493.72
  6. Step 6: Final answer
    x = 8,100.49

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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.