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Finding the Fourth Proportional to 12,816.92, 19,228.50 and 6,241.61

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Solution

The fourth proportional to 12,816.92, 19,228.50 and 6,241.61 is: 9,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.92 : 19,228.50 = 6,241.61 : x
  2. Step 2: Convert to fraction form
    12,816.92/19,228.50 = 6,241.61/x
  3. Step 3: Cross multiply
    12,816.92x = 19,228.50 × 6,241.61
  4. Step 4: Simplify right side
    12,816.92x = 120,016,845.96
  5. Step 5: Solve for x
    x = 120,016,845.96/12,816.92
  6. Step 6: Final answer
    x = 9,363.94

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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.