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Finding the Fourth Proportional to 14,265.96, 21,404.34 and 6,469.44

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Solution

The fourth proportional to 14,265.96, 21,404.34 and 6,469.44 is: 9,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.96 : 21,404.34 = 6,469.44 : x
  2. Step 2: Convert to fraction form
    14,265.96/21,404.34 = 6,469.44/x
  3. Step 3: Cross multiply
    14,265.96x = 21,404.34 × 6,469.44
  4. Step 4: Simplify right side
    14,265.96x = 138,474,093.37
  5. Step 5: Solve for x
    x = 138,474,093.37/14,265.96
  6. Step 6: Final answer
    x = 9,706.61

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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.