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Finding the Fourth Proportional to 13,196.75, 18,211.82 and 7,228.37

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Solution

The fourth proportional to 13,196.75, 18,211.82 and 7,228.37 is: 9,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.75 : 18,211.82 = 7,228.37 : x
  2. Step 2: Convert to fraction form
    13,196.75/18,211.82 = 7,228.37/x
  3. Step 3: Cross multiply
    13,196.75x = 18,211.82 × 7,228.37
  4. Step 4: Simplify right side
    13,196.75x = 131,641,737.19
  5. Step 5: Solve for x
    x = 131,641,737.19/13,196.75
  6. Step 6: Final answer
    x = 9,975.31

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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.