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Finding the Fourth Proportional to 24,151.91, 36,223.67 and 6,382.77

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Solution

The fourth proportional to 24,151.91, 36,223.67 and 6,382.77 is: 9,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.91 : 36,223.67 = 6,382.77 : x
  2. Step 2: Convert to fraction form
    24,151.91/36,223.67 = 6,382.77/x
  3. Step 3: Cross multiply
    24,151.91x = 36,223.67 × 6,382.77
  4. Step 4: Simplify right side
    24,151.91x = 231,207,234.28
  5. Step 5: Solve for x
    x = 231,207,234.28/24,151.91
  6. Step 6: Final answer
    x = 9,573.04

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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.