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Finding the Fourth Proportional to 12,290.01, 18,434.61 and 6,745.97

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Solution

The fourth proportional to 12,290.01, 18,434.61 and 6,745.97 is: 10,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.01 : 18,434.61 = 6,745.97 : x
  2. Step 2: Convert to fraction form
    12,290.01/18,434.61 = 6,745.97/x
  3. Step 3: Cross multiply
    12,290.01x = 18,434.61 × 6,745.97
  4. Step 4: Simplify right side
    12,290.01x = 124,359,233.85
  5. Step 5: Solve for x
    x = 124,359,233.85/12,290.01
  6. Step 6: Final answer
    x = 10,118.73

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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.