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Finding the Fourth Proportional to 27,813.74, 41,472.50 and 24,722.78

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Solution

The fourth proportional to 27,813.74, 41,472.50 and 24,722.78 is: 36,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.74 : 41,472.50 = 24,722.78 : x
  2. Step 2: Convert to fraction form
    27,813.74/41,472.50 = 24,722.78/x
  3. Step 3: Cross multiply
    27,813.74x = 41,472.50 × 24,722.78
  4. Step 4: Simplify right side
    27,813.74x = 1,025,315,493.55
  5. Step 5: Solve for x
    x = 1,025,315,493.55/27,813.74
  6. Step 6: Final answer
    x = 36,863.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.