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Finding the Fourth Proportional to 19,832.90, 27,369.17 and 11,338.46

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Solution

The fourth proportional to 19,832.90, 27,369.17 and 11,338.46 is: 15,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.90 : 27,369.17 = 11,338.46 : x
  2. Step 2: Convert to fraction form
    19,832.90/27,369.17 = 11,338.46/x
  3. Step 3: Cross multiply
    19,832.90x = 27,369.17 × 11,338.46
  4. Step 4: Simplify right side
    19,832.90x = 310,324,082.03
  5. Step 5: Solve for x
    x = 310,324,082.03/19,832.90
  6. Step 6: Final answer
    x = 15,646.93

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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.