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Finding the Fourth Proportional to 24,841.43, 37,254.24 and 8,198.35

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Solution

The fourth proportional to 24,841.43, 37,254.24 and 8,198.35 is: 12,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.43 : 37,254.24 = 8,198.35 : x
  2. Step 2: Convert to fraction form
    24,841.43/37,254.24 = 8,198.35/x
  3. Step 3: Cross multiply
    24,841.43x = 37,254.24 × 8,198.35
  4. Step 4: Simplify right side
    24,841.43x = 305,423,257.51
  5. Step 5: Solve for x
    x = 305,423,257.51/24,841.43
  6. Step 6: Final answer
    x = 12,294.91

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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.