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Finding the Fourth Proportional to 18,146.30, 27,222.64 and 8,286.58

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Solution

The fourth proportional to 18,146.30, 27,222.64 and 8,286.58 is: 12,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.30 : 27,222.64 = 8,286.58 : x
  2. Step 2: Convert to fraction form
    18,146.30/27,222.64 = 8,286.58/x
  3. Step 3: Cross multiply
    18,146.30x = 27,222.64 × 8,286.58
  4. Step 4: Simplify right side
    18,146.30x = 225,582,406.63
  5. Step 5: Solve for x
    x = 225,582,406.63/18,146.30
  6. Step 6: Final answer
    x = 12,431.32

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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.