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Finding the Fourth Proportional to 12,189.83, 18,286.25 and 4,290.48

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Solution

The fourth proportional to 12,189.83, 18,286.25 and 4,290.48 is: 6,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.83 : 18,286.25 = 4,290.48 : x
  2. Step 2: Convert to fraction form
    12,189.83/18,286.25 = 4,290.48/x
  3. Step 3: Cross multiply
    12,189.83x = 18,286.25 × 4,290.48
  4. Step 4: Simplify right side
    12,189.83x = 78,456,768.45
  5. Step 5: Solve for x
    x = 78,456,768.45/12,189.83
  6. Step 6: Final answer
    x = 6,436.25

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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.