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Finding the Fourth Proportional to 14,142.54, 21,224.73 and 5,379.96

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Solution

The fourth proportional to 14,142.54, 21,224.73 and 5,379.96 is: 8,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.54 : 21,224.73 = 5,379.96 : x
  2. Step 2: Convert to fraction form
    14,142.54/21,224.73 = 5,379.96/x
  3. Step 3: Cross multiply
    14,142.54x = 21,224.73 × 5,379.96
  4. Step 4: Simplify right side
    14,142.54x = 114,188,198.41
  5. Step 5: Solve for x
    x = 114,188,198.41/14,142.54
  6. Step 6: Final answer
    x = 8,074.09

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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.