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Finding the Fourth Proportional to 12,464.89, 18,681.74 and 6,226.65

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Solution

The fourth proportional to 12,464.89, 18,681.74 and 6,226.65 is: 9,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.89 : 18,681.74 = 6,226.65 : x
  2. Step 2: Convert to fraction form
    12,464.89/18,681.74 = 6,226.65/x
  3. Step 3: Cross multiply
    12,464.89x = 18,681.74 × 6,226.65
  4. Step 4: Simplify right side
    12,464.89x = 116,324,596.05
  5. Step 5: Solve for x
    x = 116,324,596.05/12,464.89
  6. Step 6: Final answer
    x = 9,332.18

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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.