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Finding the Fourth Proportional to 12,194.87, 18,289.46 and 4,189.03

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Solution

The fourth proportional to 12,194.87, 18,289.46 and 4,189.03 is: 6,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.87 : 18,289.46 = 4,189.03 : x
  2. Step 2: Convert to fraction form
    12,194.87/18,289.46 = 4,189.03/x
  3. Step 3: Cross multiply
    12,194.87x = 18,289.46 × 4,189.03
  4. Step 4: Simplify right side
    12,194.87x = 76,615,061.37
  5. Step 5: Solve for x
    x = 76,615,061.37/12,194.87
  6. Step 6: Final answer
    x = 6,282.57

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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.