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Finding the Fourth Proportional to 18,422.24, 27,638.76 and 5,942.02

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Solution

The fourth proportional to 18,422.24, 27,638.76 and 5,942.02 is: 8,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.24 : 27,638.76 = 5,942.02 : x
  2. Step 2: Convert to fraction form
    18,422.24/27,638.76 = 5,942.02/x
  3. Step 3: Cross multiply
    18,422.24x = 27,638.76 × 5,942.02
  4. Step 4: Simplify right side
    18,422.24x = 164,230,064.70
  5. Step 5: Solve for x
    x = 164,230,064.70/18,422.24
  6. Step 6: Final answer
    x = 8,914.77

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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.