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Finding the Fourth Proportional to 17,855.24, 24,640.94 and 9,896.92

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Solution

The fourth proportional to 17,855.24, 24,640.94 and 9,896.92 is: 13,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.24 : 24,640.94 = 9,896.92 : x
  2. Step 2: Convert to fraction form
    17,855.24/24,640.94 = 9,896.92/x
  3. Step 3: Cross multiply
    17,855.24x = 24,640.94 × 9,896.92
  4. Step 4: Simplify right side
    17,855.24x = 243,869,375.04
  5. Step 5: Solve for x
    x = 243,869,375.04/17,855.24
  6. Step 6: Final answer
    x = 13,658.14

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1.5x scale

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.