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Finding the Fourth Proportional to 14,327.01, 19,769.06 and 8,194.26

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Solution

The fourth proportional to 14,327.01, 19,769.06 and 8,194.26 is: 11,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.01 : 19,769.06 = 8,194.26 : x
  2. Step 2: Convert to fraction form
    14,327.01/19,769.06 = 8,194.26/x
  3. Step 3: Cross multiply
    14,327.01x = 19,769.06 × 8,194.26
  4. Step 4: Simplify right side
    14,327.01x = 161,992,912.22
  5. Step 5: Solve for x
    x = 161,992,912.22/14,327.01
  6. Step 6: Final answer
    x = 11,306.82

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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.