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Finding the Fourth Proportional to 16,212.44, 24,291.70 and 5,676.80

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Solution

The fourth proportional to 16,212.44, 24,291.70 and 5,676.80 is: 8,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.44 : 24,291.70 = 5,676.80 : x
  2. Step 2: Convert to fraction form
    16,212.44/24,291.70 = 5,676.80/x
  3. Step 3: Cross multiply
    16,212.44x = 24,291.70 × 5,676.80
  4. Step 4: Simplify right side
    16,212.44x = 137,899,122.56
  5. Step 5: Solve for x
    x = 137,899,122.56/16,212.44
  6. Step 6: Final answer
    x = 8,505.76

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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.