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Finding the Fourth Proportional to 27,472.36, 41,202.24 and 16,382.20

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Solution

The fourth proportional to 27,472.36, 41,202.24 and 16,382.20 is: 24,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.36 : 41,202.24 = 16,382.20 : x
  2. Step 2: Convert to fraction form
    27,472.36/41,202.24 = 16,382.20/x
  3. Step 3: Cross multiply
    27,472.36x = 41,202.24 × 16,382.20
  4. Step 4: Simplify right side
    27,472.36x = 674,983,336.13
  5. Step 5: Solve for x
    x = 674,983,336.13/27,472.36
  6. Step 6: Final answer
    x = 24,569.54

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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.