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Finding the Fourth Proportional to 16,814.18, 25,221.14 and 6,286.85

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Solution

The fourth proportional to 16,814.18, 25,221.14 and 6,286.85 is: 9,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.18 : 25,221.14 = 6,286.85 : x
  2. Step 2: Convert to fraction form
    16,814.18/25,221.14 = 6,286.85/x
  3. Step 3: Cross multiply
    16,814.18x = 25,221.14 × 6,286.85
  4. Step 4: Simplify right side
    16,814.18x = 158,561,524.01
  5. Step 5: Solve for x
    x = 158,561,524.01/16,814.18
  6. Step 6: Final answer
    x = 9,430.23

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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.