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Finding the Fourth Proportional to 17,715.26, 24,458.82 and 13,674.80

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Solution

The fourth proportional to 17,715.26, 24,458.82 and 13,674.80 is: 18,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.26 : 24,458.82 = 13,674.80 : x
  2. Step 2: Convert to fraction form
    17,715.26/24,458.82 = 13,674.80/x
  3. Step 3: Cross multiply
    17,715.26x = 24,458.82 × 13,674.80
  4. Step 4: Simplify right side
    17,715.26x = 334,469,471.74
  5. Step 5: Solve for x
    x = 334,469,471.74/17,715.26
  6. Step 6: Final answer
    x = 18,880.30

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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.