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Finding the Fourth Proportional to 13,856.10, 20,793.30 and 5,091.12

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Solution

The fourth proportional to 13,856.10, 20,793.30 and 5,091.12 is: 7,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.10 : 20,793.30 = 5,091.12 : x
  2. Step 2: Convert to fraction form
    13,856.10/20,793.30 = 5,091.12/x
  3. Step 3: Cross multiply
    13,856.10x = 20,793.30 × 5,091.12
  4. Step 4: Simplify right side
    13,856.10x = 105,861,185.50
  5. Step 5: Solve for x
    x = 105,861,185.50/13,856.10
  6. Step 6: Final answer
    x = 7,640.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.