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Finding the Fourth Proportional to 12,464.68, 18,681.43 and 6,226.44

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Solution

The fourth proportional to 12,464.68, 18,681.43 and 6,226.44 is: 9,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.68 : 18,681.43 = 6,226.44 : x
  2. Step 2: Convert to fraction form
    12,464.68/18,681.43 = 6,226.44/x
  3. Step 3: Cross multiply
    12,464.68x = 18,681.43 × 6,226.44
  4. Step 4: Simplify right side
    12,464.68x = 116,318,694.04
  5. Step 5: Solve for x
    x = 116,318,694.04/12,464.68
  6. Step 6: Final answer
    x = 9,331.86

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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.