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Finding the Fourth Proportional to 24,452.84, 33,759.26 and 17,732

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Solution

The fourth proportional to 24,452.84, 33,759.26 and 17,732 is: 24,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.84 : 33,759.26 = 17,732 : x
  2. Step 2: Convert to fraction form
    24,452.84/33,759.26 = 17,732/x
  3. Step 3: Cross multiply
    24,452.84x = 33,759.26 × 17,732
  4. Step 4: Simplify right side
    24,452.84x = 598,619,198.32
  5. Step 5: Solve for x
    x = 598,619,198.32/24,452.84
  6. Step 6: Final answer
    x = 24,480.56

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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.