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Finding the Fourth Proportional to 17,166.21, 23,691.87 and 9,896.91

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Solution

The fourth proportional to 17,166.21, 23,691.87 and 9,896.91 is: 13,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166.21 : 23,691.87 = 9,896.91 : x
  2. Step 2: Convert to fraction form
    17,166.21/23,691.87 = 9,896.91/x
  3. Step 3: Cross multiply
    17,166.21x = 23,691.87 × 9,896.91
  4. Step 4: Simplify right side
    17,166.21x = 234,476,305.12
  5. Step 5: Solve for x
    x = 234,476,305.12/17,166.21
  6. Step 6: Final answer
    x = 13,659.18

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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.