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Finding the Fourth Proportional to 13,196.49, 18,211.17 and 7,228.54

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Solution

The fourth proportional to 13,196.49, 18,211.17 and 7,228.54 is: 9,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.49 : 18,211.17 = 7,228.54 : x
  2. Step 2: Convert to fraction form
    13,196.49/18,211.17 = 7,228.54/x
  3. Step 3: Cross multiply
    13,196.49x = 18,211.17 × 7,228.54
  4. Step 4: Simplify right side
    13,196.49x = 131,640,170.79
  5. Step 5: Solve for x
    x = 131,640,170.79/13,196.49
  6. Step 6: Final answer
    x = 9,975.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.