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Finding the Fourth Proportional to 20,046.84, 30,059.07 and 8,208.90

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Solution

The fourth proportional to 20,046.84, 30,059.07 and 8,208.90 is: 12,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.84 : 30,059.07 = 8,208.90 : x
  2. Step 2: Convert to fraction form
    20,046.84/30,059.07 = 8,208.90/x
  3. Step 3: Cross multiply
    20,046.84x = 30,059.07 × 8,208.90
  4. Step 4: Simplify right side
    20,046.84x = 246,751,899.72
  5. Step 5: Solve for x
    x = 246,751,899.72/20,046.84
  6. Step 6: Final answer
    x = 12,308.77

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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.