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Finding the Fourth Proportional to 12,076.32, 18,114.16 and 3,311.20

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Solution

The fourth proportional to 12,076.32, 18,114.16 and 3,311.20 is: 4,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.32 : 18,114.16 = 3,311.20 : x
  2. Step 2: Convert to fraction form
    12,076.32/18,114.16 = 3,311.20/x
  3. Step 3: Cross multiply
    12,076.32x = 18,114.16 × 3,311.20
  4. Step 4: Simplify right side
    12,076.32x = 59,979,606.59
  5. Step 5: Solve for x
    x = 59,979,606.59/12,076.32
  6. Step 6: Final answer
    x = 4,966.71

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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.