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Finding the Fourth Proportional to 13,022.70, 19,534.89 and 5,230.62

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Solution

The fourth proportional to 13,022.70, 19,534.89 and 5,230.62 is: 7,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.70 : 19,534.89 = 5,230.62 : x
  2. Step 2: Convert to fraction form
    13,022.70/19,534.89 = 5,230.62/x
  3. Step 3: Cross multiply
    13,022.70x = 19,534.89 × 5,230.62
  4. Step 4: Simplify right side
    13,022.70x = 102,179,586.33
  5. Step 5: Solve for x
    x = 102,179,586.33/13,022.70
  6. Step 6: Final answer
    x = 7,846.27

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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.