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Finding the Fourth Proportional to 17,926.36, 24,736.04 and 9,967

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Solution

The fourth proportional to 17,926.36, 24,736.04 and 9,967 is: 13,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.36 : 24,736.04 = 9,967 : x
  2. Step 2: Convert to fraction form
    17,926.36/24,736.04 = 9,967/x
  3. Step 3: Cross multiply
    17,926.36x = 24,736.04 × 9,967
  4. Step 4: Simplify right side
    17,926.36x = 246,544,110.68
  5. Step 5: Solve for x
    x = 246,544,110.68/17,926.36
  6. Step 6: Final answer
    x = 13,753.16

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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.