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Finding the Fourth Proportional to 17,041, 23,517.54 and 9,589.48

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Solution

The fourth proportional to 17,041, 23,517.54 and 9,589.48 is: 13,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041 : 23,517.54 = 9,589.48 : x
  2. Step 2: Convert to fraction form
    17,041/23,517.54 = 9,589.48/x
  3. Step 3: Cross multiply
    17,041x = 23,517.54 × 9,589.48
  4. Step 4: Simplify right side
    17,041x = 225,520,979.48
  5. Step 5: Solve for x
    x = 225,520,979.48/17,041
  6. Step 6: Final answer
    x = 13,234.02

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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.