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Finding the Fourth Proportional to 13,481.81, 20,191.32 and 13,014.62

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Solution

The fourth proportional to 13,481.81, 20,191.32 and 13,014.62 is: 19,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.81 : 20,191.32 = 13,014.62 : x
  2. Step 2: Convert to fraction form
    13,481.81/20,191.32 = 13,014.62/x
  3. Step 3: Cross multiply
    13,481.81x = 20,191.32 × 13,014.62
  4. Step 4: Simplify right side
    13,481.81x = 262,782,256.14
  5. Step 5: Solve for x
    x = 262,782,256.14/13,481.81
  6. Step 6: Final answer
    x = 19,491.62

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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.