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Finding the Fourth Proportional to 14,198.96, 19,593.78 and 7,825.34

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Solution

The fourth proportional to 14,198.96, 19,593.78 and 7,825.34 is: 10,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.96 : 19,593.78 = 7,825.34 : x
  2. Step 2: Convert to fraction form
    14,198.96/19,593.78 = 7,825.34/x
  3. Step 3: Cross multiply
    14,198.96x = 19,593.78 × 7,825.34
  4. Step 4: Simplify right side
    14,198.96x = 153,327,990.39
  5. Step 5: Solve for x
    x = 153,327,990.39/14,198.96
  6. Step 6: Final answer
    x = 10,798.54

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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.