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Finding the Fourth Proportional to 13,665.42, 18,863.57 and 10,682.22

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Solution

The fourth proportional to 13,665.42, 18,863.57 and 10,682.22 is: 14,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.42 : 18,863.57 = 10,682.22 : x
  2. Step 2: Convert to fraction form
    13,665.42/18,863.57 = 10,682.22/x
  3. Step 3: Cross multiply
    13,665.42x = 18,863.57 × 10,682.22
  4. Step 4: Simplify right side
    13,665.42x = 201,504,804.73
  5. Step 5: Solve for x
    x = 201,504,804.73/13,665.42
  6. Step 6: Final answer
    x = 14,745.60

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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.