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Finding the Fourth Proportional to 16,334.67, 24,496.20 and 8,428.80

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Solution

The fourth proportional to 16,334.67, 24,496.20 and 8,428.80 is: 12,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.67 : 24,496.20 = 8,428.80 : x
  2. Step 2: Convert to fraction form
    16,334.67/24,496.20 = 8,428.80/x
  3. Step 3: Cross multiply
    16,334.67x = 24,496.20 × 8,428.80
  4. Step 4: Simplify right side
    16,334.67x = 206,473,570.56
  5. Step 5: Solve for x
    x = 206,473,570.56/16,334.67
  6. Step 6: Final answer
    x = 12,640.20

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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.