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Finding the Fourth Proportional to 17,634.28, 26,462.94 and 8,401

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Solution

The fourth proportional to 17,634.28, 26,462.94 and 8,401 is: 12,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.28 : 26,462.94 = 8,401 : x
  2. Step 2: Convert to fraction form
    17,634.28/26,462.94 = 8,401/x
  3. Step 3: Cross multiply
    17,634.28x = 26,462.94 × 8,401
  4. Step 4: Simplify right side
    17,634.28x = 222,315,158.94
  5. Step 5: Solve for x
    x = 222,315,158.94/17,634.28
  6. Step 6: Final answer
    x = 12,606.99

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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.