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Finding the Fourth Proportional to 24,826.98, 37,232.56 and 8,183.90

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Solution

The fourth proportional to 24,826.98, 37,232.56 and 8,183.90 is: 12,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.98 : 37,232.56 = 8,183.90 : x
  2. Step 2: Convert to fraction form
    24,826.98/37,232.56 = 8,183.90/x
  3. Step 3: Cross multiply
    24,826.98x = 37,232.56 × 8,183.90
  4. Step 4: Simplify right side
    24,826.98x = 304,707,547.78
  5. Step 5: Solve for x
    x = 304,707,547.78/24,826.98
  6. Step 6: Final answer
    x = 12,273.24

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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.