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Finding the Fourth Proportional to 26,950.60, 40,431.96 and 8,229.07

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Solution

The fourth proportional to 26,950.60, 40,431.96 and 8,229.07 is: 12,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950.60 : 40,431.96 = 8,229.07 : x
  2. Step 2: Convert to fraction form
    26,950.60/40,431.96 = 8,229.07/x
  3. Step 3: Cross multiply
    26,950.60x = 40,431.96 × 8,229.07
  4. Step 4: Simplify right side
    26,950.60x = 332,717,429.08
  5. Step 5: Solve for x
    x = 332,717,429.08/26,950.60
  6. Step 6: Final answer
    x = 12,345.46

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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.