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Finding the Fourth Proportional to 24,375.53, 33,638.22 and 13,197.53

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Solution

The fourth proportional to 24,375.53, 33,638.22 and 13,197.53 is: 18,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.53 : 33,638.22 = 13,197.53 : x
  2. Step 2: Convert to fraction form
    24,375.53/33,638.22 = 13,197.53/x
  3. Step 3: Cross multiply
    24,375.53x = 33,638.22 × 13,197.53
  4. Step 4: Simplify right side
    24,375.53x = 443,941,249.41
  5. Step 5: Solve for x
    x = 443,941,249.41/24,375.53
  6. Step 6: Final answer
    x = 18,212.58

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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.