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Finding the Fourth Proportional to 24,377.42, 33,640.90 and 13,199.42

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Solution

The fourth proportional to 24,377.42, 33,640.90 and 13,199.42 is: 18,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.42 : 33,640.90 = 13,199.42 : x
  2. Step 2: Convert to fraction form
    24,377.42/33,640.90 = 13,199.42/x
  3. Step 3: Cross multiply
    24,377.42x = 33,640.90 × 13,199.42
  4. Step 4: Simplify right side
    24,377.42x = 444,040,368.28
  5. Step 5: Solve for x
    x = 444,040,368.28/24,377.42
  6. Step 6: Final answer
    x = 18,215.23

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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.