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Finding the Fourth Proportional to 20,109.50, 27,751.14 and 11,727.62

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Solution

The fourth proportional to 20,109.50, 27,751.14 and 11,727.62 is: 16,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.50 : 27,751.14 = 11,727.62 : x
  2. Step 2: Convert to fraction form
    20,109.50/27,751.14 = 11,727.62/x
  3. Step 3: Cross multiply
    20,109.50x = 27,751.14 × 11,727.62
  4. Step 4: Simplify right side
    20,109.50x = 325,454,765.85
  5. Step 5: Solve for x
    x = 325,454,765.85/20,109.50
  6. Step 6: Final answer
    x = 16,184.13

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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.