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Finding the Fourth Proportional to 24,828.30, 37,232.55 and 8,183.70

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Solution

The fourth proportional to 24,828.30, 37,232.55 and 8,183.70 is: 12,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.30 : 37,232.55 = 8,183.70 : x
  2. Step 2: Convert to fraction form
    24,828.30/37,232.55 = 8,183.70/x
  3. Step 3: Cross multiply
    24,828.30x = 37,232.55 × 8,183.70
  4. Step 4: Simplify right side
    24,828.30x = 304,700,019.44
  5. Step 5: Solve for x
    x = 304,700,019.44/24,828.30
  6. Step 6: Final answer
    x = 12,272.29

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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.