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Finding the Fourth Proportional to 22,227.50, 30,682.44 and 13,731

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Solution

The fourth proportional to 22,227.50, 30,682.44 and 13,731 is: 18,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.50 : 30,682.44 = 13,731 : x
  2. Step 2: Convert to fraction form
    22,227.50/30,682.44 = 13,731/x
  3. Step 3: Cross multiply
    22,227.50x = 30,682.44 × 13,731
  4. Step 4: Simplify right side
    22,227.50x = 421,300,583.64
  5. Step 5: Solve for x
    x = 421,300,583.64/22,227.50
  6. Step 6: Final answer
    x = 18,954.03

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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.