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Finding the Fourth Proportional to 17,644.40, 24,349.17 and 9,578.22

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Solution

The fourth proportional to 17,644.40, 24,349.17 and 9,578.22 is: 13,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.40 : 24,349.17 = 9,578.22 : x
  2. Step 2: Convert to fraction form
    17,644.40/24,349.17 = 9,578.22/x
  3. Step 3: Cross multiply
    17,644.40x = 24,349.17 × 9,578.22
  4. Step 4: Simplify right side
    17,644.40x = 233,221,585.33
  5. Step 5: Solve for x
    x = 233,221,585.33/17,644.40
  6. Step 6: Final answer
    x = 13,217.88

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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.