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Finding the Fourth Proportional to 20,214.97, 27,896.74 and 11,718.74

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Solution

The fourth proportional to 20,214.97, 27,896.74 and 11,718.74 is: 16,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.97 : 27,896.74 = 11,718.74 : x
  2. Step 2: Convert to fraction form
    20,214.97/27,896.74 = 11,718.74/x
  3. Step 3: Cross multiply
    20,214.97x = 27,896.74 × 11,718.74
  4. Step 4: Simplify right side
    20,214.97x = 326,914,683.35
  5. Step 5: Solve for x
    x = 326,914,683.35/20,214.97
  6. Step 6: Final answer
    x = 16,171.91

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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.