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Finding the Fourth Proportional to 13,644.10, 18,822.50 and 8,863.72

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Solution

The fourth proportional to 13,644.10, 18,822.50 and 8,863.72 is: 12,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.10 : 18,822.50 = 8,863.72 : x
  2. Step 2: Convert to fraction form
    13,644.10/18,822.50 = 8,863.72/x
  3. Step 3: Cross multiply
    13,644.10x = 18,822.50 × 8,863.72
  4. Step 4: Simplify right side
    13,644.10x = 166,837,369.70
  5. Step 5: Solve for x
    x = 166,837,369.70/13,644.10
  6. Step 6: Final answer
    x = 12,227.80

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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.