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Finding the Fourth Proportional to 20,489.67, 28,272.81 and 11,414.97

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Solution

The fourth proportional to 20,489.67, 28,272.81 and 11,414.97 is: 15,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.67 : 28,272.81 = 11,414.97 : x
  2. Step 2: Convert to fraction form
    20,489.67/28,272.81 = 11,414.97/x
  3. Step 3: Cross multiply
    20,489.67x = 28,272.81 × 11,414.97
  4. Step 4: Simplify right side
    20,489.67x = 322,733,341.18
  5. Step 5: Solve for x
    x = 322,733,341.18/20,489.67
  6. Step 6: Final answer
    x = 15,751.02

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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.