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Finding the Fourth Proportional to 12,462.38, 18,682.49 and 4,559.42

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Solution

The fourth proportional to 12,462.38, 18,682.49 and 4,559.42 is: 6,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.38 : 18,682.49 = 4,559.42 : x
  2. Step 2: Convert to fraction form
    12,462.38/18,682.49 = 4,559.42/x
  3. Step 3: Cross multiply
    12,462.38x = 18,682.49 × 4,559.42
  4. Step 4: Simplify right side
    12,462.38x = 85,181,202.35
  5. Step 5: Solve for x
    x = 85,181,202.35/12,462.38
  6. Step 6: Final answer
    x = 6,835.07

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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.