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Finding the Fourth Proportional to 20,174.94, 30,267.27 and 6,323.94

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Solution

The fourth proportional to 20,174.94, 30,267.27 and 6,323.94 is: 9,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.94 : 30,267.27 = 6,323.94 : x
  2. Step 2: Convert to fraction form
    20,174.94/30,267.27 = 6,323.94/x
  3. Step 3: Cross multiply
    20,174.94x = 30,267.27 × 6,323.94
  4. Step 4: Simplify right side
    20,174.94x = 191,408,367.82
  5. Step 5: Solve for x
    x = 191,408,367.82/20,174.94
  6. Step 6: Final answer
    x = 9,487.43

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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.