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Finding the Fourth Proportional to 13,872.50, 20,811.49 and 4,511.92

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Solution

The fourth proportional to 13,872.50, 20,811.49 and 4,511.92 is: 6,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.50 : 20,811.49 = 4,511.92 : x
  2. Step 2: Convert to fraction form
    13,872.50/20,811.49 = 4,511.92/x
  3. Step 3: Cross multiply
    13,872.50x = 20,811.49 × 4,511.92
  4. Step 4: Simplify right side
    13,872.50x = 93,899,651.34
  5. Step 5: Solve for x
    x = 93,899,651.34/13,872.50
  6. Step 6: Final answer
    x = 6,768.76

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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.