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Finding the Fourth Proportional to 11,311.56, 16,951.52 and 9,636.96

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Solution

The fourth proportional to 11,311.56, 16,951.52 and 9,636.96 is: 14,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.56 : 16,951.52 = 9,636.96 : x
  2. Step 2: Convert to fraction form
    11,311.56/16,951.52 = 9,636.96/x
  3. Step 3: Cross multiply
    11,311.56x = 16,951.52 × 9,636.96
  4. Step 4: Simplify right side
    11,311.56x = 163,361,120.18
  5. Step 5: Solve for x
    x = 163,361,120.18/11,311.56
  6. Step 6: Final answer
    x = 14,441.96

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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.