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Finding the Fourth Proportional to 16,919, 25,379.70 and 5,230.70

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Solution

The fourth proportional to 16,919, 25,379.70 and 5,230.70 is: 7,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,919 : 25,379.70 = 5,230.70 : x
  2. Step 2: Convert to fraction form
    16,919/25,379.70 = 5,230.70/x
  3. Step 3: Cross multiply
    16,919x = 25,379.70 × 5,230.70
  4. Step 4: Simplify right side
    16,919x = 132,753,596.79
  5. Step 5: Solve for x
    x = 132,753,596.79/16,919
  6. Step 6: Final answer
    x = 7,846.42

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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.