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Finding the Fourth Proportional to 20,098.62, 27,736.17 and 11,146.95

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Solution

The fourth proportional to 20,098.62, 27,736.17 and 11,146.95 is: 15,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.62 : 27,736.17 = 11,146.95 : x
  2. Step 2: Convert to fraction form
    20,098.62/27,736.17 = 11,146.95/x
  3. Step 3: Cross multiply
    20,098.62x = 27,736.17 × 11,146.95
  4. Step 4: Simplify right side
    20,098.62x = 309,173,700.18
  5. Step 5: Solve for x
    x = 309,173,700.18/20,098.62
  6. Step 6: Final answer
    x = 15,382.83

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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.