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Finding the Fourth Proportional to 24,112.97, 33,274.92 and 13,357.22

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Solution

The fourth proportional to 24,112.97, 33,274.92 and 13,357.22 is: 18,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,112.97 : 33,274.92 = 13,357.22 : x
  2. Step 2: Convert to fraction form
    24,112.97/33,274.92 = 13,357.22/x
  3. Step 3: Cross multiply
    24,112.97x = 33,274.92 × 13,357.22
  4. Step 4: Simplify right side
    24,112.97x = 444,460,310.64
  5. Step 5: Solve for x
    x = 444,460,310.64/24,112.97
  6. Step 6: Final answer
    x = 18,432.42

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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.