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Finding the Fourth Proportional to 13,196.86, 18,211.40 and 7,228.24

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Solution

The fourth proportional to 13,196.86, 18,211.40 and 7,228.24 is: 9,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.86 : 18,211.40 = 7,228.24 : x
  2. Step 2: Convert to fraction form
    13,196.86/18,211.40 = 7,228.24/x
  3. Step 3: Cross multiply
    13,196.86x = 18,211.40 × 7,228.24
  4. Step 4: Simplify right side
    13,196.86x = 131,636,369.94
  5. Step 5: Solve for x
    x = 131,636,369.94/13,196.86
  6. Step 6: Final answer
    x = 9,974.83

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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.