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Finding the Fourth Proportional to 20,016.04, 30,016.86 and 6,865

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Solution

The fourth proportional to 20,016.04, 30,016.86 and 6,865 is: 10,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016.04 : 30,016.86 = 6,865 : x
  2. Step 2: Convert to fraction form
    20,016.04/30,016.86 = 6,865/x
  3. Step 3: Cross multiply
    20,016.04x = 30,016.86 × 6,865
  4. Step 4: Simplify right side
    20,016.04x = 206,065,743.90
  5. Step 5: Solve for x
    x = 206,065,743.90/20,016.04
  6. Step 6: Final answer
    x = 10,295.03

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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.