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Finding the Fourth Proportional to 13,213.82, 19,806.36 and 6,189.45

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Solution

The fourth proportional to 13,213.82, 19,806.36 and 6,189.45 is: 9,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.82 : 19,806.36 = 6,189.45 : x
  2. Step 2: Convert to fraction form
    13,213.82/19,806.36 = 6,189.45/x
  3. Step 3: Cross multiply
    13,213.82x = 19,806.36 × 6,189.45
  4. Step 4: Simplify right side
    13,213.82x = 122,590,474.90
  5. Step 5: Solve for x
    x = 122,590,474.90/13,213.82
  6. Step 6: Final answer
    x = 9,277.45

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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.