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Finding the Fourth Proportional to 13,422.11, 18,516.44 and 8,640.34

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Solution

The fourth proportional to 13,422.11, 18,516.44 and 8,640.34 is: 11,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.11 : 18,516.44 = 8,640.34 : x
  2. Step 2: Convert to fraction form
    13,422.11/18,516.44 = 8,640.34/x
  3. Step 3: Cross multiply
    13,422.11x = 18,516.44 × 8,640.34
  4. Step 4: Simplify right side
    13,422.11x = 159,988,340.28
  5. Step 5: Solve for x
    x = 159,988,340.28/13,422.11
  6. Step 6: Final answer
    x = 11,919.76

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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.