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Finding the Fourth Proportional to 13,196.42, 18,211.32 and 7,228.09

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Solution

The fourth proportional to 13,196.42, 18,211.32 and 7,228.09 is: 9,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.42 : 18,211.32 = 7,228.09 : x
  2. Step 2: Convert to fraction form
    13,196.42/18,211.32 = 7,228.09/x
  3. Step 3: Cross multiply
    13,196.42x = 18,211.32 × 7,228.09
  4. Step 4: Simplify right side
    13,196.42x = 131,632,932.78
  5. Step 5: Solve for x
    x = 131,632,932.78/13,196.42
  6. Step 6: Final answer
    x = 9,974.90

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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.