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Finding the Fourth Proportional to 16,380.50, 22,609.89 and 14,166.14

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Solution

The fourth proportional to 16,380.50, 22,609.89 and 14,166.14 is: 19,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.50 : 22,609.89 = 14,166.14 : x
  2. Step 2: Convert to fraction form
    16,380.50/22,609.89 = 14,166.14/x
  3. Step 3: Cross multiply
    16,380.50x = 22,609.89 × 14,166.14
  4. Step 4: Simplify right side
    16,380.50x = 320,294,754.08
  5. Step 5: Solve for x
    x = 320,294,754.08/16,380.50
  6. Step 6: Final answer
    x = 19,553.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.