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Finding the Fourth Proportional to 26,803.50, 40,199.78 and 10,157.80

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Solution

The fourth proportional to 26,803.50, 40,199.78 and 10,157.80 is: 15,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803.50 : 40,199.78 = 10,157.80 : x
  2. Step 2: Convert to fraction form
    26,803.50/40,199.78 = 10,157.80/x
  3. Step 3: Cross multiply
    26,803.50x = 40,199.78 × 10,157.80
  4. Step 4: Simplify right side
    26,803.50x = 408,341,073.50
  5. Step 5: Solve for x
    x = 408,341,073.50/26,803.50
  6. Step 6: Final answer
    x = 15,234.62

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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.