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Finding the Fourth Proportional to 12,208.67, 18,311.64 and 8,285.14

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Solution

The fourth proportional to 12,208.67, 18,311.64 and 8,285.14 is: 12,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.67 : 18,311.64 = 8,285.14 : x
  2. Step 2: Convert to fraction form
    12,208.67/18,311.64 = 8,285.14/x
  3. Step 3: Cross multiply
    12,208.67x = 18,311.64 × 8,285.14
  4. Step 4: Simplify right side
    12,208.67x = 151,714,389.85
  5. Step 5: Solve for x
    x = 151,714,389.85/12,208.67
  6. Step 6: Final answer
    x = 12,426.77

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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.