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Finding the Fourth Proportional to 18,266.31, 27,402.23 and 5,782.19

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Solution

The fourth proportional to 18,266.31, 27,402.23 and 5,782.19 is: 8,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.31 : 27,402.23 = 5,782.19 : x
  2. Step 2: Convert to fraction form
    18,266.31/27,402.23 = 5,782.19/x
  3. Step 3: Cross multiply
    18,266.31x = 27,402.23 × 5,782.19
  4. Step 4: Simplify right side
    18,266.31x = 158,444,777.73
  5. Step 5: Solve for x
    x = 158,444,777.73/18,266.31
  6. Step 6: Final answer
    x = 8,674.15

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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.