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Finding the Fourth Proportional to 17,198.06, 23,733.23 and 9,644.38

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Solution

The fourth proportional to 17,198.06, 23,733.23 and 9,644.38 is: 13,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.06 : 23,733.23 = 9,644.38 : x
  2. Step 2: Convert to fraction form
    17,198.06/23,733.23 = 9,644.38/x
  3. Step 3: Cross multiply
    17,198.06x = 23,733.23 × 9,644.38
  4. Step 4: Simplify right side
    17,198.06x = 228,892,181.19
  5. Step 5: Solve for x
    x = 228,892,181.19/17,198.06
  6. Step 6: Final answer
    x = 13,309.19

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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.