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Finding the Fourth Proportional to 20,665.83, 30,994.09 and 5,874.42

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Solution

The fourth proportional to 20,665.83, 30,994.09 and 5,874.42 is: 8,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.83 : 30,994.09 = 5,874.42 : x
  2. Step 2: Convert to fraction form
    20,665.83/30,994.09 = 5,874.42/x
  3. Step 3: Cross multiply
    20,665.83x = 30,994.09 × 5,874.42
  4. Step 4: Simplify right side
    20,665.83x = 182,072,287.49
  5. Step 5: Solve for x
    x = 182,072,287.49/20,665.83
  6. Step 6: Final answer
    x = 8,810.31

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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.