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Finding the Fourth Proportional to 12,133.46, 18,194.34 and 4,235.78

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Solution

The fourth proportional to 12,133.46, 18,194.34 and 4,235.78 is: 6,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.46 : 18,194.34 = 4,235.78 : x
  2. Step 2: Convert to fraction form
    12,133.46/18,194.34 = 4,235.78/x
  3. Step 3: Cross multiply
    12,133.46x = 18,194.34 × 4,235.78
  4. Step 4: Simplify right side
    12,133.46x = 77,067,221.49
  5. Step 5: Solve for x
    x = 77,067,221.49/12,133.46
  6. Step 6: Final answer
    x = 6,351.63

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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.