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Finding the Fourth Proportional to 20,842.54, 31,249.23 and 10,448.62

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Solution

The fourth proportional to 20,842.54, 31,249.23 and 10,448.62 is: 15,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.54 : 31,249.23 = 10,448.62 : x
  2. Step 2: Convert to fraction form
    20,842.54/31,249.23 = 10,448.62/x
  3. Step 3: Cross multiply
    20,842.54x = 31,249.23 × 10,448.62
  4. Step 4: Simplify right side
    20,842.54x = 326,511,329.56
  5. Step 5: Solve for x
    x = 326,511,329.56/20,842.54
  6. Step 6: Final answer
    x = 15,665.62

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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.