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Finding the Fourth Proportional to 24,073.80, 36,109.84 and 8,491

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Solution

The fourth proportional to 24,073.80, 36,109.84 and 8,491 is: 12,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.80 : 36,109.84 = 8,491 : x
  2. Step 2: Convert to fraction form
    24,073.80/36,109.84 = 8,491/x
  3. Step 3: Cross multiply
    24,073.80x = 36,109.84 × 8,491
  4. Step 4: Simplify right side
    24,073.80x = 306,608,651.44
  5. Step 5: Solve for x
    x = 306,608,651.44/24,073.80
  6. Step 6: Final answer
    x = 12,736.20

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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.