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Finding the Fourth Proportional to 26,812.30, 40,206.30 and 10,166.80

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Solution

The fourth proportional to 26,812.30, 40,206.30 and 10,166.80 is: 15,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812.30 : 40,206.30 = 10,166.80 : x
  2. Step 2: Convert to fraction form
    26,812.30/40,206.30 = 10,166.80/x
  3. Step 3: Cross multiply
    26,812.30x = 40,206.30 × 10,166.80
  4. Step 4: Simplify right side
    26,812.30x = 408,769,410.84
  5. Step 5: Solve for x
    x = 408,769,410.84/26,812.30
  6. Step 6: Final answer
    x = 15,245.59

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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.