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Finding the Fourth Proportional to 12,076.91, 18,114.75 and 3,311.83

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Solution

The fourth proportional to 12,076.91, 18,114.75 and 3,311.83 is: 4,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.91 : 18,114.75 = 3,311.83 : x
  2. Step 2: Convert to fraction form
    12,076.91/18,114.75 = 3,311.83/x
  3. Step 3: Cross multiply
    12,076.91x = 18,114.75 × 3,311.83
  4. Step 4: Simplify right side
    12,076.91x = 59,992,927.21
  5. Step 5: Solve for x
    x = 59,992,927.21/12,076.91
  6. Step 6: Final answer
    x = 4,967.57

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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.