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Finding the Fourth Proportional to 12,280.05, 18,424.94 and 8,119.17

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Solution

The fourth proportional to 12,280.05, 18,424.94 and 8,119.17 is: 12,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.05 : 18,424.94 = 8,119.17 : x
  2. Step 2: Convert to fraction form
    12,280.05/18,424.94 = 8,119.17/x
  3. Step 3: Cross multiply
    12,280.05x = 18,424.94 × 8,119.17
  4. Step 4: Simplify right side
    12,280.05x = 149,595,179.50
  5. Step 5: Solve for x
    x = 149,595,179.50/12,280.05
  6. Step 6: Final answer
    x = 12,181.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.