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Finding the Fourth Proportional to 27,517.63, 37,974.28 and 14,942.38

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Solution

The fourth proportional to 27,517.63, 37,974.28 and 14,942.38 is: 20,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,517.63 : 37,974.28 = 14,942.38 : x
  2. Step 2: Convert to fraction form
    27,517.63/37,974.28 = 14,942.38/x
  3. Step 3: Cross multiply
    27,517.63x = 37,974.28 × 14,942.38
  4. Step 4: Simplify right side
    27,517.63x = 567,426,121.99
  5. Step 5: Solve for x
    x = 567,426,121.99/27,517.63
  6. Step 6: Final answer
    x = 20,620.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.