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Finding the Fourth Proportional to 16,144.09, 24,217.05 and 5,755.84

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Solution

The fourth proportional to 16,144.09, 24,217.05 and 5,755.84 is: 8,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.09 : 24,217.05 = 5,755.84 : x
  2. Step 2: Convert to fraction form
    16,144.09/24,217.05 = 5,755.84/x
  3. Step 3: Cross multiply
    16,144.09x = 24,217.05 × 5,755.84
  4. Step 4: Simplify right side
    16,144.09x = 139,389,465.07
  5. Step 5: Solve for x
    x = 139,389,465.07/16,144.09
  6. Step 6: Final answer
    x = 8,634.09

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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.