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Finding the Fourth Proportional to 26,808.45, 40,199.61 and 8,085

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Solution

The fourth proportional to 26,808.45, 40,199.61 and 8,085 is: 12,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,808.45 : 40,199.61 = 8,085 : x
  2. Step 2: Convert to fraction form
    26,808.45/40,199.61 = 8,085/x
  3. Step 3: Cross multiply
    26,808.45x = 40,199.61 × 8,085
  4. Step 4: Simplify right side
    26,808.45x = 325,013,846.85
  5. Step 5: Solve for x
    x = 325,013,846.85/26,808.45
  6. Step 6: Final answer
    x = 12,123.56

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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.