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Finding the Fourth Proportional to 16,194.96, 24,299.50 and 5,672.54

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Solution

The fourth proportional to 16,194.96, 24,299.50 and 5,672.54 is: 8,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.96 : 24,299.50 = 5,672.54 : x
  2. Step 2: Convert to fraction form
    16,194.96/24,299.50 = 5,672.54/x
  3. Step 3: Cross multiply
    16,194.96x = 24,299.50 × 5,672.54
  4. Step 4: Simplify right side
    16,194.96x = 137,839,885.73
  5. Step 5: Solve for x
    x = 137,839,885.73/16,194.96
  6. Step 6: Final answer
    x = 8,511.28

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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.