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Finding the Fourth Proportional to 18,227.88, 27,344.70 and 5,913

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Solution

The fourth proportional to 18,227.88, 27,344.70 and 5,913 is: 8,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.88 : 27,344.70 = 5,913 : x
  2. Step 2: Convert to fraction form
    18,227.88/27,344.70 = 5,913/x
  3. Step 3: Cross multiply
    18,227.88x = 27,344.70 × 5,913
  4. Step 4: Simplify right side
    18,227.88x = 161,689,211.10
  5. Step 5: Solve for x
    x = 161,689,211.10/18,227.88
  6. Step 6: Final answer
    x = 8,870.43

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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.