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Finding the Fourth Proportional to 26,842.60, 40,263.70 and 8,122.60

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Solution

The fourth proportional to 26,842.60, 40,263.70 and 8,122.60 is: 12,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.60 : 40,263.70 = 8,122.60 : x
  2. Step 2: Convert to fraction form
    26,842.60/40,263.70 = 8,122.60/x
  3. Step 3: Cross multiply
    26,842.60x = 40,263.70 × 8,122.60
  4. Step 4: Simplify right side
    26,842.60x = 327,045,929.62
  5. Step 5: Solve for x
    x = 327,045,929.62/26,842.60
  6. Step 6: Final answer
    x = 12,183.84

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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.