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Finding the Fourth Proportional to 16,082.50, 24,133.23 and 6,721.80

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Solution

The fourth proportional to 16,082.50, 24,133.23 and 6,721.80 is: 10,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.50 : 24,133.23 = 6,721.80 : x
  2. Step 2: Convert to fraction form
    16,082.50/24,133.23 = 6,721.80/x
  3. Step 3: Cross multiply
    16,082.50x = 24,133.23 × 6,721.80
  4. Step 4: Simplify right side
    16,082.50x = 162,218,745.41
  5. Step 5: Solve for x
    x = 162,218,745.41/16,082.50
  6. Step 6: Final answer
    x = 10,086.66

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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.