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Finding the Fourth Proportional to 12,812.57, 19,224.80 and 4,912.44

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Solution

The fourth proportional to 12,812.57, 19,224.80 and 4,912.44 is: 7,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.57 : 19,224.80 = 4,912.44 : x
  2. Step 2: Convert to fraction form
    12,812.57/19,224.80 = 4,912.44/x
  3. Step 3: Cross multiply
    12,812.57x = 19,224.80 × 4,912.44
  4. Step 4: Simplify right side
    12,812.57x = 94,440,651.95
  5. Step 5: Solve for x
    x = 94,440,651.95/12,812.57
  6. Step 6: Final answer
    x = 7,370.94

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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.