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Finding the Fourth Proportional to 12,227.96, 18,352.74 and 8,056.28

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Solution

The fourth proportional to 12,227.96, 18,352.74 and 8,056.28 is: 12,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.96 : 18,352.74 = 8,056.28 : x
  2. Step 2: Convert to fraction form
    12,227.96/18,352.74 = 8,056.28/x
  3. Step 3: Cross multiply
    12,227.96x = 18,352.74 × 8,056.28
  4. Step 4: Simplify right side
    12,227.96x = 147,854,812.21
  5. Step 5: Solve for x
    x = 147,854,812.21/12,227.96
  6. Step 6: Final answer
    x = 12,091.54

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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.