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Finding the Fourth Proportional to 14,198.42, 19,593.80 and 8,233.56

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Solution

The fourth proportional to 14,198.42, 19,593.80 and 8,233.56 is: 11,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.42 : 19,593.80 = 8,233.56 : x
  2. Step 2: Convert to fraction form
    14,198.42/19,593.80 = 8,233.56/x
  3. Step 3: Cross multiply
    14,198.42x = 19,593.80 × 8,233.56
  4. Step 4: Simplify right side
    14,198.42x = 161,326,727.93
  5. Step 5: Solve for x
    x = 161,326,727.93/14,198.42
  6. Step 6: Final answer
    x = 11,362.30

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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.