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Finding the Fourth Proportional to 27,517.42, 37,974.18 and 14,942.17

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Solution

The fourth proportional to 27,517.42, 37,974.18 and 14,942.17 is: 20,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,517.42 : 37,974.18 = 14,942.17 : x
  2. Step 2: Convert to fraction form
    27,517.42/37,974.18 = 14,942.17/x
  3. Step 3: Cross multiply
    27,517.42x = 37,974.18 × 14,942.17
  4. Step 4: Simplify right side
    27,517.42x = 567,416,653.17
  5. Step 5: Solve for x
    x = 567,416,653.17/27,517.42
  6. Step 6: Final answer
    x = 20,620.27

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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.