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Finding the Fourth Proportional to 20,015.79, 30,016.49 and 6,864.63

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Solution

The fourth proportional to 20,015.79, 30,016.49 and 6,864.63 is: 10,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.79 : 30,016.49 = 6,864.63 : x
  2. Step 2: Convert to fraction form
    20,015.79/30,016.49 = 6,864.63/x
  3. Step 3: Cross multiply
    20,015.79x = 30,016.49 × 6,864.63
  4. Step 4: Simplify right side
    20,015.79x = 206,052,063.43
  5. Step 5: Solve for x
    x = 206,052,063.43/20,015.79
  6. Step 6: Final answer
    x = 10,294.48

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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.