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Finding the Fourth Proportional to 19,580.34, 27,022.20 and 11,082.43

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Solution

The fourth proportional to 19,580.34, 27,022.20 and 11,082.43 is: 15,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.34 : 27,022.20 = 11,082.43 : x
  2. Step 2: Convert to fraction form
    19,580.34/27,022.20 = 11,082.43/x
  3. Step 3: Cross multiply
    19,580.34x = 27,022.20 × 11,082.43
  4. Step 4: Simplify right side
    19,580.34x = 299,471,530.83
  5. Step 5: Solve for x
    x = 299,471,530.83/19,580.34
  6. Step 6: Final answer
    x = 15,294.50

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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.