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Finding the Fourth Proportional to 20,018.04, 30,019.86 and 6,867

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Solution

The fourth proportional to 20,018.04, 30,019.86 and 6,867 is: 10,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018.04 : 30,019.86 = 6,867 : x
  2. Step 2: Convert to fraction form
    20,018.04/30,019.86 = 6,867/x
  3. Step 3: Cross multiply
    20,018.04x = 30,019.86 × 6,867
  4. Step 4: Simplify right side
    20,018.04x = 206,146,378.62
  5. Step 5: Solve for x
    x = 206,146,378.62/20,018.04
  6. Step 6: Final answer
    x = 10,298.03

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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.