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Finding the Fourth Proportional to 15,211.09, 20,991.68 and 9,546.09

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Solution

The fourth proportional to 15,211.09, 20,991.68 and 9,546.09 is: 13,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.09 : 20,991.68 = 9,546.09 : x
  2. Step 2: Convert to fraction form
    15,211.09/20,991.68 = 9,546.09/x
  3. Step 3: Cross multiply
    15,211.09x = 20,991.68 × 9,546.09
  4. Step 4: Simplify right side
    15,211.09x = 200,388,466.53
  5. Step 5: Solve for x
    x = 200,388,466.53/15,211.09
  6. Step 6: Final answer
    x = 13,173.84

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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.