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Finding the Fourth Proportional to 19,401, 29,112 and 15,027

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Solution

The fourth proportional to 19,401, 29,112 and 15,027 is: 22,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401 : 29,112 = 15,027 : x
  2. Step 2: Convert to fraction form
    19,401/29,112 = 15,027/x
  3. Step 3: Cross multiply
    19,401x = 29,112 × 15,027
  4. Step 4: Simplify right side
    19,401x = 437,466,024
  5. Step 5: Solve for x
    x = 437,466,024/19,401
  6. Step 6: Final answer
    x = 22,548.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.