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Finding the Fourth Proportional to 13,190.99, 19,786.23 and 5,295.29

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Solution

The fourth proportional to 13,190.99, 19,786.23 and 5,295.29 is: 7,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.99 : 19,786.23 = 5,295.29 : x
  2. Step 2: Convert to fraction form
    13,190.99/19,786.23 = 5,295.29/x
  3. Step 3: Cross multiply
    13,190.99x = 19,786.23 × 5,295.29
  4. Step 4: Simplify right side
    13,190.99x = 104,773,726.93
  5. Step 5: Solve for x
    x = 104,773,726.93/13,190.99
  6. Step 6: Final answer
    x = 7,942.83

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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.