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Finding the Fourth Proportional to 17,974.38, 24,805.74 and 10,016.94

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Solution

The fourth proportional to 17,974.38, 24,805.74 and 10,016.94 is: 13,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.38 : 24,805.74 = 10,016.94 : x
  2. Step 2: Convert to fraction form
    17,974.38/24,805.74 = 10,016.94/x
  3. Step 3: Cross multiply
    17,974.38x = 24,805.74 × 10,016.94
  4. Step 4: Simplify right side
    17,974.38x = 248,477,609.24
  5. Step 5: Solve for x
    x = 248,477,609.24/17,974.38
  6. Step 6: Final answer
    x = 13,823.99

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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.