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Finding the Fourth Proportional to 12,906.96, 19,343.43 and 5,111.52

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Solution

The fourth proportional to 12,906.96, 19,343.43 and 5,111.52 is: 7,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.96 : 19,343.43 = 5,111.52 : x
  2. Step 2: Convert to fraction form
    12,906.96/19,343.43 = 5,111.52/x
  3. Step 3: Cross multiply
    12,906.96x = 19,343.43 × 5,111.52
  4. Step 4: Simplify right side
    12,906.96x = 98,874,329.31
  5. Step 5: Solve for x
    x = 98,874,329.31/12,906.96
  6. Step 6: Final answer
    x = 7,660.54

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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.