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Finding the Fourth Proportional to 24,401, 33,673.41 and 13,223

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Solution

The fourth proportional to 24,401, 33,673.41 and 13,223 is: 18,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401 : 33,673.41 = 13,223 : x
  2. Step 2: Convert to fraction form
    24,401/33,673.41 = 13,223/x
  3. Step 3: Cross multiply
    24,401x = 33,673.41 × 13,223
  4. Step 4: Simplify right side
    24,401x = 445,263,500.43
  5. Step 5: Solve for x
    x = 445,263,500.43/24,401
  6. Step 6: Final answer
    x = 18,247.76

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Why These Related Problems?

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