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Finding the Fourth Proportional to 12,896.92, 19,342.52 and 4,462.92

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Solution

The fourth proportional to 12,896.92, 19,342.52 and 4,462.92 is: 6,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.92 : 19,342.52 = 4,462.92 : x
  2. Step 2: Convert to fraction form
    12,896.92/19,342.52 = 4,462.92/x
  3. Step 3: Cross multiply
    12,896.92x = 19,342.52 × 4,462.92
  4. Step 4: Simplify right side
    12,896.92x = 86,324,119.36
  5. Step 5: Solve for x
    x = 86,324,119.36/12,896.92
  6. Step 6: Final answer
    x = 6,693.39

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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.