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Finding the Fourth Proportional to 21,380.43, 32,082.80 and 11,519.49

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Solution

The fourth proportional to 21,380.43, 32,082.80 and 11,519.49 is: 17,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.43 : 32,082.80 = 11,519.49 : x
  2. Step 2: Convert to fraction form
    21,380.43/32,082.80 = 11,519.49/x
  3. Step 3: Cross multiply
    21,380.43x = 32,082.80 × 11,519.49
  4. Step 4: Simplify right side
    21,380.43x = 369,577,436.17
  5. Step 5: Solve for x
    x = 369,577,436.17/21,380.43
  6. Step 6: Final answer
    x = 17,285.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.