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Finding the Fourth Proportional to 16,545.40, 24,821.70 and 5,450.20

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Solution

The fourth proportional to 16,545.40, 24,821.70 and 5,450.20 is: 8,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.40 : 24,821.70 = 5,450.20 : x
  2. Step 2: Convert to fraction form
    16,545.40/24,821.70 = 5,450.20/x
  3. Step 3: Cross multiply
    16,545.40x = 24,821.70 × 5,450.20
  4. Step 4: Simplify right side
    16,545.40x = 135,283,229.34
  5. Step 5: Solve for x
    x = 135,283,229.34/16,545.40
  6. Step 6: Final answer
    x = 8,176.49

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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.