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Finding the Fourth Proportional to 24,920.26, 37,372.26 and 8,275.78

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Solution

The fourth proportional to 24,920.26, 37,372.26 and 8,275.78 is: 12,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.26 : 37,372.26 = 8,275.78 : x
  2. Step 2: Convert to fraction form
    24,920.26/37,372.26 = 8,275.78/x
  3. Step 3: Cross multiply
    24,920.26x = 37,372.26 × 8,275.78
  4. Step 4: Simplify right side
    24,920.26x = 309,284,601.86
  5. Step 5: Solve for x
    x = 309,284,601.86/24,920.26
  6. Step 6: Final answer
    x = 12,410.97

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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.