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Finding the Fourth Proportional to 13,674.13, 20,511.23 and 3,813.69

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Solution

The fourth proportional to 13,674.13, 20,511.23 and 3,813.69 is: 5,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.13 : 20,511.23 = 3,813.69 : x
  2. Step 2: Convert to fraction form
    13,674.13/20,511.23 = 3,813.69/x
  3. Step 3: Cross multiply
    13,674.13x = 20,511.23 × 3,813.69
  4. Step 4: Simplify right side
    13,674.13x = 78,223,472.74
  5. Step 5: Solve for x
    x = 78,223,472.74/13,674.13
  6. Step 6: Final answer
    x = 5,720.54

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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.