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Finding the Fourth Proportional to 23,662.08, 35,489.76 and 13,806

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Solution

The fourth proportional to 23,662.08, 35,489.76 and 13,806 is: 20,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.08 : 35,489.76 = 13,806 : x
  2. Step 2: Convert to fraction form
    23,662.08/35,489.76 = 13,806/x
  3. Step 3: Cross multiply
    23,662.08x = 35,489.76 × 13,806
  4. Step 4: Simplify right side
    23,662.08x = 489,971,626.56
  5. Step 5: Solve for x
    x = 489,971,626.56/23,662.08
  6. Step 6: Final answer
    x = 20,707.04

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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.