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Finding the Fourth Proportional to 17,498.82, 24,082.89 and 16,082.58

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Solution

The fourth proportional to 17,498.82, 24,082.89 and 16,082.58 is: 22,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.82 : 24,082.89 = 16,082.58 : x
  2. Step 2: Convert to fraction form
    17,498.82/24,082.89 = 16,082.58/x
  3. Step 3: Cross multiply
    17,498.82x = 24,082.89 × 16,082.58
  4. Step 4: Simplify right side
    17,498.82x = 387,315,005.06
  5. Step 5: Solve for x
    x = 387,315,005.06/17,498.82
  6. Step 6: Final answer
    x = 22,133.78

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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.