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Finding the Fourth Proportional to 13,667.78, 18,872.71 and 8,640.11

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Solution

The fourth proportional to 13,667.78, 18,872.71 and 8,640.11 is: 11,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.78 : 18,872.71 = 8,640.11 : x
  2. Step 2: Convert to fraction form
    13,667.78/18,872.71 = 8,640.11/x
  3. Step 3: Cross multiply
    13,667.78x = 18,872.71 × 8,640.11
  4. Step 4: Simplify right side
    13,667.78x = 163,062,174.43
  5. Step 5: Solve for x
    x = 163,062,174.43/13,667.78
  6. Step 6: Final answer
    x = 11,930.41

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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.