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Finding the Fourth Proportional to 16,506.50, 24,761.82 and 5,414.34

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Solution

The fourth proportional to 16,506.50, 24,761.82 and 5,414.34 is: 8,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.50 : 24,761.82 = 5,414.34 : x
  2. Step 2: Convert to fraction form
    16,506.50/24,761.82 = 5,414.34/x
  3. Step 3: Cross multiply
    16,506.50x = 24,761.82 × 5,414.34
  4. Step 4: Simplify right side
    16,506.50x = 134,068,912.50
  5. Step 5: Solve for x
    x = 134,068,912.50/16,506.50
  6. Step 6: Final answer
    x = 8,122.19

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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.