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Finding the Fourth Proportional to 12,306.75, 18,460.26 and 3,072.75

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Solution

The fourth proportional to 12,306.75, 18,460.26 and 3,072.75 is: 4,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.75 : 18,460.26 = 3,072.75 : x
  2. Step 2: Convert to fraction form
    12,306.75/18,460.26 = 3,072.75/x
  3. Step 3: Cross multiply
    12,306.75x = 18,460.26 × 3,072.75
  4. Step 4: Simplify right side
    12,306.75x = 56,723,763.92
  5. Step 5: Solve for x
    x = 56,723,763.92/12,306.75
  6. Step 6: Final answer
    x = 4,609.16

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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.