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Finding the Fourth Proportional to 20,665.32, 30,980.46 and 8,194.15

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Solution

The fourth proportional to 20,665.32, 30,980.46 and 8,194.15 is: 12,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.32 : 30,980.46 = 8,194.15 : x
  2. Step 2: Convert to fraction form
    20,665.32/30,980.46 = 8,194.15/x
  3. Step 3: Cross multiply
    20,665.32x = 30,980.46 × 8,194.15
  4. Step 4: Simplify right side
    20,665.32x = 253,858,536.31
  5. Step 5: Solve for x
    x = 253,858,536.31/20,665.32
  6. Step 6: Final answer
    x = 12,284.28

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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.