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Finding the Fourth Proportional to 13,406.90, 20,105.94 and 4,519.85

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Solution

The fourth proportional to 13,406.90, 20,105.94 and 4,519.85 is: 6,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.90 : 20,105.94 = 4,519.85 : x
  2. Step 2: Convert to fraction form
    13,406.90/20,105.94 = 4,519.85/x
  3. Step 3: Cross multiply
    13,406.90x = 20,105.94 × 4,519.85
  4. Step 4: Simplify right side
    13,406.90x = 90,875,732.38
  5. Step 5: Solve for x
    x = 90,875,732.38/13,406.90
  6. Step 6: Final answer
    x = 6,778.28

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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.