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Finding the Fourth Proportional to 14,105.73, 19,466.69 and 7,817.97

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Solution

The fourth proportional to 14,105.73, 19,466.69 and 7,817.97 is: 10,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.73 : 19,466.69 = 7,817.97 : x
  2. Step 2: Convert to fraction form
    14,105.73/19,466.69 = 7,817.97/x
  3. Step 3: Cross multiply
    14,105.73x = 19,466.69 × 7,817.97
  4. Step 4: Simplify right side
    14,105.73x = 152,189,998.42
  5. Step 5: Solve for x
    x = 152,189,998.42/14,105.73
  6. Step 6: Final answer
    x = 10,789.23

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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.