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Finding the Fourth Proportional to 20,532.83, 30,802.58 and 8,046.09

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Solution

The fourth proportional to 20,532.83, 30,802.58 and 8,046.09 is: 12,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.83 : 30,802.58 = 8,046.09 : x
  2. Step 2: Convert to fraction form
    20,532.83/30,802.58 = 8,046.09/x
  3. Step 3: Cross multiply
    20,532.83x = 30,802.58 × 8,046.09
  4. Step 4: Simplify right side
    20,532.83x = 247,840,234.22
  5. Step 5: Solve for x
    x = 247,840,234.22/20,532.83
  6. Step 6: Final answer
    x = 12,070.44

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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.