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Finding the Fourth Proportional to 24,841.37, 37,254.14 and 8,198.30

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Solution

The fourth proportional to 24,841.37, 37,254.14 and 8,198.30 is: 12,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.37 : 37,254.14 = 8,198.30 : x
  2. Step 2: Convert to fraction form
    24,841.37/37,254.14 = 8,198.30/x
  3. Step 3: Cross multiply
    24,841.37x = 37,254.14 × 8,198.30
  4. Step 4: Simplify right side
    24,841.37x = 305,420,615.96
  5. Step 5: Solve for x
    x = 305,420,615.96/24,841.37
  6. Step 6: Final answer
    x = 12,294.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.