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Finding the Fourth Proportional to 17,813.53, 24,571.94 and 11,763.82

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Solution

The fourth proportional to 17,813.53, 24,571.94 and 11,763.82 is: 16,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.53 : 24,571.94 = 11,763.82 : x
  2. Step 2: Convert to fraction form
    17,813.53/24,571.94 = 11,763.82/x
  3. Step 3: Cross multiply
    17,813.53x = 24,571.94 × 11,763.82
  4. Step 4: Simplify right side
    17,813.53x = 289,059,879.21
  5. Step 5: Solve for x
    x = 289,059,879.21/17,813.53
  6. Step 6: Final answer
    x = 16,226.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.