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Finding the Fourth Proportional to 12,464.43, 18,683.52 and 4,142.21

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Solution

The fourth proportional to 12,464.43, 18,683.52 and 4,142.21 is: 6,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.43 : 18,683.52 = 4,142.21 : x
  2. Step 2: Convert to fraction form
    12,464.43/18,683.52 = 4,142.21/x
  3. Step 3: Cross multiply
    12,464.43x = 18,683.52 × 4,142.21
  4. Step 4: Simplify right side
    12,464.43x = 77,391,063.38
  5. Step 5: Solve for x
    x = 77,391,063.38/12,464.43
  6. Step 6: Final answer
    x = 6,208.95

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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.