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Finding the Fourth Proportional to 12,896.72, 19,345.09 and 8,513.15

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Solution

The fourth proportional to 12,896.72, 19,345.09 and 8,513.15 is: 12,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.72 : 19,345.09 = 8,513.15 : x
  2. Step 2: Convert to fraction form
    12,896.72/19,345.09 = 8,513.15/x
  3. Step 3: Cross multiply
    12,896.72x = 19,345.09 × 8,513.15
  4. Step 4: Simplify right side
    12,896.72x = 164,687,680.01
  5. Step 5: Solve for x
    x = 164,687,680.01/12,896.72
  6. Step 6: Final answer
    x = 12,769.73

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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.