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Finding the Fourth Proportional to 19,838.94, 29,771.37 and 9,451.50

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Solution

The fourth proportional to 19,838.94, 29,771.37 and 9,451.50 is: 14,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.94 : 29,771.37 = 9,451.50 : x
  2. Step 2: Convert to fraction form
    19,838.94/29,771.37 = 9,451.50/x
  3. Step 3: Cross multiply
    19,838.94x = 29,771.37 × 9,451.50
  4. Step 4: Simplify right side
    19,838.94x = 281,384,103.56
  5. Step 5: Solve for x
    x = 281,384,103.56/19,838.94
  6. Step 6: Final answer
    x = 14,183.42

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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.