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Finding the Fourth Proportional to 17,924.93, 24,736.25 and 9,967.09

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Solution

The fourth proportional to 17,924.93, 24,736.25 and 9,967.09 is: 13,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.93 : 24,736.25 = 9,967.09 : x
  2. Step 2: Convert to fraction form
    17,924.93/24,736.25 = 9,967.09/x
  3. Step 3: Cross multiply
    17,924.93x = 24,736.25 × 9,967.09
  4. Step 4: Simplify right side
    17,924.93x = 246,548,306.33
  5. Step 5: Solve for x
    x = 246,548,306.33/17,924.93
  6. Step 6: Final answer
    x = 13,754.49

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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.