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Finding the Fourth Proportional to 13,096.57, 19,644.91 and 6,858.43

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Solution

The fourth proportional to 13,096.57, 19,644.91 and 6,858.43 is: 10,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.57 : 19,644.91 = 6,858.43 : x
  2. Step 2: Convert to fraction form
    13,096.57/19,644.91 = 6,858.43/x
  3. Step 3: Cross multiply
    13,096.57x = 19,644.91 × 6,858.43
  4. Step 4: Simplify right side
    13,096.57x = 134,733,240.09
  5. Step 5: Solve for x
    x = 134,733,240.09/13,096.57
  6. Step 6: Final answer
    x = 10,287.67

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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.