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Finding the Fourth Proportional to 23,727.60, 35,596.80 and 13,861.80

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Solution

The fourth proportional to 23,727.60, 35,596.80 and 13,861.80 is: 20,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,727.60 : 35,596.80 = 13,861.80 : x
  2. Step 2: Convert to fraction form
    23,727.60/35,596.80 = 13,861.80/x
  3. Step 3: Cross multiply
    23,727.60x = 35,596.80 × 13,861.80
  4. Step 4: Simplify right side
    23,727.60x = 493,435,722.24
  5. Step 5: Solve for x
    x = 493,435,722.24/23,727.60
  6. Step 6: Final answer
    x = 20,795.85

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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.