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Finding the Fourth Proportional to 13,196.62, 18,211.33 and 7,228.24

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Solution

The fourth proportional to 13,196.62, 18,211.33 and 7,228.24 is: 9,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.62 : 18,211.33 = 7,228.24 : x
  2. Step 2: Convert to fraction form
    13,196.62/18,211.33 = 7,228.24/x
  3. Step 3: Cross multiply
    13,196.62x = 18,211.33 × 7,228.24
  4. Step 4: Simplify right side
    13,196.62x = 131,635,827.47
  5. Step 5: Solve for x
    x = 131,635,827.47/13,196.62
  6. Step 6: Final answer
    x = 9,974.96

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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.