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Finding the Fourth Proportional to 20,262.50, 27,965.50 and 11,879

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Solution

The fourth proportional to 20,262.50, 27,965.50 and 11,879 is: 16,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.50 : 27,965.50 = 11,879 : x
  2. Step 2: Convert to fraction form
    20,262.50/27,965.50 = 11,879/x
  3. Step 3: Cross multiply
    20,262.50x = 27,965.50 × 11,879
  4. Step 4: Simplify right side
    20,262.50x = 332,202,174.50
  5. Step 5: Solve for x
    x = 332,202,174.50/20,262.50
  6. Step 6: Final answer
    x = 16,394.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.