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Finding the Fourth Proportional to 15,093.98, 22,640.97 and 5,734

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Solution

The fourth proportional to 15,093.98, 22,640.97 and 5,734 is: 8,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.98 : 22,640.97 = 5,734 : x
  2. Step 2: Convert to fraction form
    15,093.98/22,640.97 = 5,734/x
  3. Step 3: Cross multiply
    15,093.98x = 22,640.97 × 5,734
  4. Step 4: Simplify right side
    15,093.98x = 129,823,321.98
  5. Step 5: Solve for x
    x = 129,823,321.98/15,093.98
  6. Step 6: Final answer
    x = 8,601

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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.