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Finding the Fourth Proportional to 16,021.80, 23,998.14 and 13,429.80

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Solution

The fourth proportional to 16,021.80, 23,998.14 and 13,429.80 is: 20,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.80 : 23,998.14 = 13,429.80 : x
  2. Step 2: Convert to fraction form
    16,021.80/23,998.14 = 13,429.80/x
  3. Step 3: Cross multiply
    16,021.80x = 23,998.14 × 13,429.80
  4. Step 4: Simplify right side
    16,021.80x = 322,290,220.57
  5. Step 5: Solve for x
    x = 322,290,220.57/16,021.80
  6. Step 6: Final answer
    x = 20,115.73

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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.