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Finding the Fourth Proportional to 16,516.26, 24,778.17 and 7,157.85

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Solution

The fourth proportional to 16,516.26, 24,778.17 and 7,157.85 is: 10,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.26 : 24,778.17 = 7,157.85 : x
  2. Step 2: Convert to fraction form
    16,516.26/24,778.17 = 7,157.85/x
  3. Step 3: Cross multiply
    16,516.26x = 24,778.17 × 7,157.85
  4. Step 4: Simplify right side
    16,516.26x = 177,358,442.03
  5. Step 5: Solve for x
    x = 177,358,442.03/16,516.26
  6. Step 6: Final answer
    x = 10,738.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.