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Finding the Fourth Proportional to 24,244.56, 33,414 and 17,946

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Solution

The fourth proportional to 24,244.56, 33,414 and 17,946 is: 24,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244.56 : 33,414 = 17,946 : x
  2. Step 2: Convert to fraction form
    24,244.56/33,414 = 17,946/x
  3. Step 3: Cross multiply
    24,244.56x = 33,414 × 17,946
  4. Step 4: Simplify right side
    24,244.56x = 599,647,644
  5. Step 5: Solve for x
    x = 599,647,644/24,244.56
  6. Step 6: Final answer
    x = 24,733.29

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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.