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Finding the Fourth Proportional to 17,163, 23,682.20 and 9,609.66

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Solution

The fourth proportional to 17,163, 23,682.20 and 9,609.66 is: 13,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163 : 23,682.20 = 9,609.66 : x
  2. Step 2: Convert to fraction form
    17,163/23,682.20 = 9,609.66/x
  3. Step 3: Cross multiply
    17,163x = 23,682.20 × 9,609.66
  4. Step 4: Simplify right side
    17,163x = 227,577,890.05
  5. Step 5: Solve for x
    x = 227,577,890.05/17,163
  6. Step 6: Final answer
    x = 13,259.80

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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.