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Finding the Fourth Proportional to 17,327.44, 25,995 and 9,532.24

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Solution

The fourth proportional to 17,327.44, 25,995 and 9,532.24 is: 14,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327.44 : 25,995 = 9,532.24 : x
  2. Step 2: Convert to fraction form
    17,327.44/25,995 = 9,532.24/x
  3. Step 3: Cross multiply
    17,327.44x = 25,995 × 9,532.24
  4. Step 4: Simplify right side
    17,327.44x = 247,790,578.80
  5. Step 5: Solve for x
    x = 247,790,578.80/17,327.44
  6. Step 6: Final answer
    x = 14,300.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.