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Finding the Fourth Proportional to 26,955.96, 40,416.99 and 8,229.77

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Solution

The fourth proportional to 26,955.96, 40,416.99 and 8,229.77 is: 12,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,955.96 : 40,416.99 = 8,229.77 : x
  2. Step 2: Convert to fraction form
    26,955.96/40,416.99 = 8,229.77/x
  3. Step 3: Cross multiply
    26,955.96x = 40,416.99 × 8,229.77
  4. Step 4: Simplify right side
    26,955.96x = 332,622,329.71
  5. Step 5: Solve for x
    x = 332,622,329.71/26,955.96
  6. Step 6: Final answer
    x = 12,339.47

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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.