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Finding the Fourth Proportional to 11,227.72, 16,856.16 and 8,632.48

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Solution

The fourth proportional to 11,227.72, 16,856.16 and 8,632.48 is: 12,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.72 : 16,856.16 = 8,632.48 : x
  2. Step 2: Convert to fraction form
    11,227.72/16,856.16 = 8,632.48/x
  3. Step 3: Cross multiply
    11,227.72x = 16,856.16 × 8,632.48
  4. Step 4: Simplify right side
    11,227.72x = 145,510,464.08
  5. Step 5: Solve for x
    x = 145,510,464.08/11,227.72
  6. Step 6: Final answer
    x = 12,959.93

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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.