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Finding the Fourth Proportional to 10,021.93, 13,817.89 and 8,227.37

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Solution

The fourth proportional to 10,021.93, 13,817.89 and 8,227.37 is: 11,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.93 : 13,817.89 = 8,227.37 : x
  2. Step 2: Convert to fraction form
    10,021.93/13,817.89 = 8,227.37/x
  3. Step 3: Cross multiply
    10,021.93x = 13,817.89 × 8,227.37
  4. Step 4: Simplify right side
    10,021.93x = 113,684,938.48
  5. Step 5: Solve for x
    x = 113,684,938.48/10,021.93
  6. Step 6: Final answer
    x = 11,343.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.