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Finding the Fourth Proportional to 20,140.76, 27,794.23 and 11,189.10

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Solution

The fourth proportional to 20,140.76, 27,794.23 and 11,189.10 is: 15,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.76 : 27,794.23 = 11,189.10 : x
  2. Step 2: Convert to fraction form
    20,140.76/27,794.23 = 11,189.10/x
  3. Step 3: Cross multiply
    20,140.76x = 27,794.23 × 11,189.10
  4. Step 4: Simplify right side
    20,140.76x = 310,992,418.89
  5. Step 5: Solve for x
    x = 310,992,418.89/20,140.76
  6. Step 6: Final answer
    x = 15,440.95

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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.