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Finding the Fourth Proportional to 13,974.69, 20,962.09 and 13,273.94

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Solution

The fourth proportional to 13,974.69, 20,962.09 and 13,273.94 is: 19,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.69 : 20,962.09 = 13,273.94 : x
  2. Step 2: Convert to fraction form
    13,974.69/20,962.09 = 13,273.94/x
  3. Step 3: Cross multiply
    13,974.69x = 20,962.09 × 13,273.94
  4. Step 4: Simplify right side
    13,974.69x = 278,249,524.93
  5. Step 5: Solve for x
    x = 278,249,524.93/13,974.69
  6. Step 6: Final answer
    x = 19,910.96

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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.