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Finding the Fourth Proportional to 20,140.26, 27,793.92 and 11,188.58

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Solution

The fourth proportional to 20,140.26, 27,793.92 and 11,188.58 is: 15,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.26 : 27,793.92 = 11,188.58 : x
  2. Step 2: Convert to fraction form
    20,140.26/27,793.92 = 11,188.58/x
  3. Step 3: Cross multiply
    20,140.26x = 27,793.92 × 11,188.58
  4. Step 4: Simplify right side
    20,140.26x = 310,974,497.43
  5. Step 5: Solve for x
    x = 310,974,497.43/20,140.26
  6. Step 6: Final answer
    x = 15,440.44

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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.