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Finding the Fourth Proportional to 12,905.96, 19,354.74 and 7,968.20

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Solution

The fourth proportional to 12,905.96, 19,354.74 and 7,968.20 is: 11,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.96 : 19,354.74 = 7,968.20 : x
  2. Step 2: Convert to fraction form
    12,905.96/19,354.74 = 7,968.20/x
  3. Step 3: Cross multiply
    12,905.96x = 19,354.74 × 7,968.20
  4. Step 4: Simplify right side
    12,905.96x = 154,222,439.27
  5. Step 5: Solve for x
    x = 154,222,439.27/12,905.96
  6. Step 6: Final answer
    x = 11,949.71

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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.