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Finding the Fourth Proportional to 20,262.25, 27,965.15 and 11,878.75

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Solution

The fourth proportional to 20,262.25, 27,965.15 and 11,878.75 is: 16,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.25 : 27,965.15 = 11,878.75 : x
  2. Step 2: Convert to fraction form
    20,262.25/27,965.15 = 11,878.75/x
  3. Step 3: Cross multiply
    20,262.25x = 27,965.15 × 11,878.75
  4. Step 4: Simplify right side
    20,262.25x = 332,191,025.56
  5. Step 5: Solve for x
    x = 332,191,025.56/20,262.25
  6. Step 6: Final answer
    x = 16,394.58

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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.