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Finding the Fourth Proportional to 13,674.37, 20,511.72 and 3,813.05

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Solution

The fourth proportional to 13,674.37, 20,511.72 and 3,813.05 is: 5,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.37 : 20,511.72 = 3,813.05 : x
  2. Step 2: Convert to fraction form
    13,674.37/20,511.72 = 3,813.05/x
  3. Step 3: Cross multiply
    13,674.37x = 20,511.72 × 3,813.05
  4. Step 4: Simplify right side
    13,674.37x = 78,212,188.31
  5. Step 5: Solve for x
    x = 78,212,188.31/13,674.37
  6. Step 6: Final answer
    x = 5,719.62

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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.