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Finding the Fourth Proportional to 20,140.20, 27,794.34 and 11,188.20

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Solution

The fourth proportional to 20,140.20, 27,794.34 and 11,188.20 is: 15,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.20 : 27,794.34 = 11,188.20 : x
  2. Step 2: Convert to fraction form
    20,140.20/27,794.34 = 11,188.20/x
  3. Step 3: Cross multiply
    20,140.20x = 27,794.34 × 11,188.20
  4. Step 4: Simplify right side
    20,140.20x = 310,968,634.79
  5. Step 5: Solve for x
    x = 310,968,634.79/20,140.20
  6. Step 6: Final answer
    x = 15,440.20

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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.