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Finding the Fourth Proportional to 13,907.72, 20,861.39 and 3,377.82

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Solution

The fourth proportional to 13,907.72, 20,861.39 and 3,377.82 is: 5,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.72 : 20,861.39 = 3,377.82 : x
  2. Step 2: Convert to fraction form
    13,907.72/20,861.39 = 3,377.82/x
  3. Step 3: Cross multiply
    13,907.72x = 20,861.39 × 3,377.82
  4. Step 4: Simplify right side
    13,907.72x = 70,466,020.37
  5. Step 5: Solve for x
    x = 70,466,020.37/13,907.72
  6. Step 6: Final answer
    x = 5,066.68

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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.