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Finding the Fourth Proportional to 16,099.36, 24,156.33 and 7,336.78

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Solution

The fourth proportional to 16,099.36, 24,156.33 and 7,336.78 is: 11,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.36 : 24,156.33 = 7,336.78 : x
  2. Step 2: Convert to fraction form
    16,099.36/24,156.33 = 7,336.78/x
  3. Step 3: Cross multiply
    16,099.36x = 24,156.33 × 7,336.78
  4. Step 4: Simplify right side
    16,099.36x = 177,229,590.91
  5. Step 5: Solve for x
    x = 177,229,590.91/16,099.36
  6. Step 6: Final answer
    x = 11,008.49

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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.