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Finding the Fourth Proportional to 17,696.20, 24,416.34 and 11,401

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Solution

The fourth proportional to 17,696.20, 24,416.34 and 11,401 is: 15,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.20 : 24,416.34 = 11,401 : x
  2. Step 2: Convert to fraction form
    17,696.20/24,416.34 = 11,401/x
  3. Step 3: Cross multiply
    17,696.20x = 24,416.34 × 11,401
  4. Step 4: Simplify right side
    17,696.20x = 278,370,692.34
  5. Step 5: Solve for x
    x = 278,370,692.34/17,696.20
  6. Step 6: Final answer
    x = 15,730.53

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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.