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Finding the Fourth Proportional to 20,826, 28,739.94 and 11,394.48

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Solution

The fourth proportional to 20,826, 28,739.94 and 11,394.48 is: 15,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 28,739.94 = 11,394.48 : x
  2. Step 2: Convert to fraction form
    20,826/28,739.94 = 11,394.48/x
  3. Step 3: Cross multiply
    20,826x = 28,739.94 × 11,394.48
  4. Step 4: Simplify right side
    20,826x = 327,476,671.53
  5. Step 5: Solve for x
    x = 327,476,671.53/20,826
  6. Step 6: Final answer
    x = 15,724.42

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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.