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Finding the Fourth Proportional to 24,372.25, 33,633.75 and 13,194.25

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Solution

The fourth proportional to 24,372.25, 33,633.75 and 13,194.25 is: 18,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.25 : 33,633.75 = 13,194.25 : x
  2. Step 2: Convert to fraction form
    24,372.25/33,633.75 = 13,194.25/x
  3. Step 3: Cross multiply
    24,372.25x = 33,633.75 × 13,194.25
  4. Step 4: Simplify right side
    24,372.25x = 443,772,105.94
  5. Step 5: Solve for x
    x = 443,772,105.94/24,372.25
  6. Step 6: Final answer
    x = 18,208.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.