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Finding the Fourth Proportional to 11,229.96, 16,856.62 and 8,271.74

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Solution

The fourth proportional to 11,229.96, 16,856.62 and 8,271.74 is: 12,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.96 : 16,856.62 = 8,271.74 : x
  2. Step 2: Convert to fraction form
    11,229.96/16,856.62 = 8,271.74/x
  3. Step 3: Cross multiply
    11,229.96x = 16,856.62 × 8,271.74
  4. Step 4: Simplify right side
    11,229.96x = 139,433,587.31
  5. Step 5: Solve for x
    x = 139,433,587.31/11,229.96
  6. Step 6: Final answer
    x = 12,416.21

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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.