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Finding the Fourth Proportional to 16,408.91, 24,614.66 and 8,084.38

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Solution

The fourth proportional to 16,408.91, 24,614.66 and 8,084.38 is: 12,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.91 : 24,614.66 = 8,084.38 : x
  2. Step 2: Convert to fraction form
    16,408.91/24,614.66 = 8,084.38/x
  3. Step 3: Cross multiply
    16,408.91x = 24,614.66 × 8,084.38
  4. Step 4: Simplify right side
    16,408.91x = 198,994,224.59
  5. Step 5: Solve for x
    x = 198,994,224.59/16,408.91
  6. Step 6: Final answer
    x = 12,127.21

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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.