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Finding the Fourth Proportional to 13,838.96, 20,759.72 and 5,516.96

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Solution

The fourth proportional to 13,838.96, 20,759.72 and 5,516.96 is: 8,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.96 : 20,759.72 = 5,516.96 : x
  2. Step 2: Convert to fraction form
    13,838.96/20,759.72 = 5,516.96/x
  3. Step 3: Cross multiply
    13,838.96x = 20,759.72 × 5,516.96
  4. Step 4: Simplify right side
    13,838.96x = 114,530,544.85
  5. Step 5: Solve for x
    x = 114,530,544.85/13,838.96
  6. Step 6: Final answer
    x = 8,275.95

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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.