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Finding the Fourth Proportional to 20,166.63, 30,249.94 and 9,604.63

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Solution

The fourth proportional to 20,166.63, 30,249.94 and 9,604.63 is: 14,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.63 : 30,249.94 = 9,604.63 : x
  2. Step 2: Convert to fraction form
    20,166.63/30,249.94 = 9,604.63/x
  3. Step 3: Cross multiply
    20,166.63x = 30,249.94 × 9,604.63
  4. Step 4: Simplify right side
    20,166.63x = 290,539,481.22
  5. Step 5: Solve for x
    x = 290,539,481.22/20,166.63
  6. Step 6: Final answer
    x = 14,406.94

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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.