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Finding the Fourth Proportional to 17,638.38, 26,467.97 and 7,113.42

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Solution

The fourth proportional to 17,638.38, 26,467.97 and 7,113.42 is: 10,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.38 : 26,467.97 = 7,113.42 : x
  2. Step 2: Convert to fraction form
    17,638.38/26,467.97 = 7,113.42/x
  3. Step 3: Cross multiply
    17,638.38x = 26,467.97 × 7,113.42
  4. Step 4: Simplify right side
    17,638.38x = 188,277,751.59
  5. Step 5: Solve for x
    x = 188,277,751.59/17,638.38
  6. Step 6: Final answer
    x = 10,674.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.