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Finding the Fourth Proportional to 13,185.90, 18,188.82 and 7,806.48

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Solution

The fourth proportional to 13,185.90, 18,188.82 and 7,806.48 is: 10,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.90 : 18,188.82 = 7,806.48 : x
  2. Step 2: Convert to fraction form
    13,185.90/18,188.82 = 7,806.48/x
  3. Step 3: Cross multiply
    13,185.90x = 18,188.82 × 7,806.48
  4. Step 4: Simplify right side
    13,185.90x = 141,990,659.55
  5. Step 5: Solve for x
    x = 141,990,659.55/13,185.90
  6. Step 6: Final answer
    x = 10,768.37

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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.