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Finding the Fourth Proportional to 16,471.98, 24,714.45 and 7,231.50

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Solution

The fourth proportional to 16,471.98, 24,714.45 and 7,231.50 is: 10,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.98 : 24,714.45 = 7,231.50 : x
  2. Step 2: Convert to fraction form
    16,471.98/24,714.45 = 7,231.50/x
  3. Step 3: Cross multiply
    16,471.98x = 24,714.45 × 7,231.50
  4. Step 4: Simplify right side
    16,471.98x = 178,722,545.18
  5. Step 5: Solve for x
    x = 178,722,545.18/16,471.98
  6. Step 6: Final answer
    x = 10,850.09

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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.