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Finding the Fourth Proportional to 14,194.54, 19,588.46 and 8,229.68

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Solution

The fourth proportional to 14,194.54, 19,588.46 and 8,229.68 is: 11,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.54 : 19,588.46 = 8,229.68 : x
  2. Step 2: Convert to fraction form
    14,194.54/19,588.46 = 8,229.68/x
  3. Step 3: Cross multiply
    14,194.54x = 19,588.46 × 8,229.68
  4. Step 4: Simplify right side
    14,194.54x = 161,206,757.49
  5. Step 5: Solve for x
    x = 161,206,757.49/14,194.54
  6. Step 6: Final answer
    x = 11,356.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.