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Finding the Fourth Proportional to 17,717, 24,453.78 and 10,269.32

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Solution

The fourth proportional to 17,717, 24,453.78 and 10,269.32 is: 14,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717 : 24,453.78 = 10,269.32 : x
  2. Step 2: Convert to fraction form
    17,717/24,453.78 = 10,269.32/x
  3. Step 3: Cross multiply
    17,717x = 24,453.78 × 10,269.32
  4. Step 4: Simplify right side
    17,717x = 251,123,692.03
  5. Step 5: Solve for x
    x = 251,123,692.03/17,717
  6. Step 6: Final answer
    x = 14,174.17

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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.