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Finding the Fourth Proportional to 26,492.24, 39,739.32 and 8,023.76

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Solution

The fourth proportional to 26,492.24, 39,739.32 and 8,023.76 is: 12,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.24 : 39,739.32 = 8,023.76 : x
  2. Step 2: Convert to fraction form
    26,492.24/39,739.32 = 8,023.76/x
  3. Step 3: Cross multiply
    26,492.24x = 39,739.32 × 8,023.76
  4. Step 4: Simplify right side
    26,492.24x = 318,858,766.24
  5. Step 5: Solve for x
    x = 318,858,766.24/26,492.24
  6. Step 6: Final answer
    x = 12,035.93

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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.