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Finding the Fourth Proportional to 20,284.92, 30,427.04 and 6,967.17

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Solution

The fourth proportional to 20,284.92, 30,427.04 and 6,967.17 is: 10,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.92 : 30,427.04 = 6,967.17 : x
  2. Step 2: Convert to fraction form
    20,284.92/30,427.04 = 6,967.17/x
  3. Step 3: Cross multiply
    20,284.92x = 30,427.04 × 6,967.17
  4. Step 4: Simplify right side
    20,284.92x = 211,990,377.69
  5. Step 5: Solve for x
    x = 211,990,377.69/20,284.92
  6. Step 6: Final answer
    x = 10,450.64

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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.