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Finding the Fourth Proportional to 13,096.50, 19,647.80 and 3,736.65

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Solution

The fourth proportional to 13,096.50, 19,647.80 and 3,736.65 is: 5,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.50 : 19,647.80 = 3,736.65 : x
  2. Step 2: Convert to fraction form
    13,096.50/19,647.80 = 3,736.65/x
  3. Step 3: Cross multiply
    13,096.50x = 19,647.80 × 3,736.65
  4. Step 4: Simplify right side
    13,096.50x = 73,416,912.09
  5. Step 5: Solve for x
    x = 73,416,912.09/13,096.50
  6. Step 6: Final answer
    x = 5,605.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.