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Finding the Fourth Proportional to 12,794.36, 19,186.08 and 4,471.92

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Solution

The fourth proportional to 12,794.36, 19,186.08 and 4,471.92 is: 6,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.36 : 19,186.08 = 4,471.92 : x
  2. Step 2: Convert to fraction form
    12,794.36/19,186.08 = 4,471.92/x
  3. Step 3: Cross multiply
    12,794.36x = 19,186.08 × 4,471.92
  4. Step 4: Simplify right side
    12,794.36x = 85,798,614.87
  5. Step 5: Solve for x
    x = 85,798,614.87/12,794.36
  6. Step 6: Final answer
    x = 6,705.97

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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.