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Finding the Fourth Proportional to 13,782.07, 19,019.78 and 8,191.99

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Solution

The fourth proportional to 13,782.07, 19,019.78 and 8,191.99 is: 11,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.07 : 19,019.78 = 8,191.99 : x
  2. Step 2: Convert to fraction form
    13,782.07/19,019.78 = 8,191.99/x
  3. Step 3: Cross multiply
    13,782.07x = 19,019.78 × 8,191.99
  4. Step 4: Simplify right side
    13,782.07x = 155,809,847.56
  5. Step 5: Solve for x
    x = 155,809,847.56/13,782.07
  6. Step 6: Final answer
    x = 11,305.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.