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Finding the Fourth Proportional to 17,082.36, 23,546.70 and 12,883.32

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Solution

The fourth proportional to 17,082.36, 23,546.70 and 12,883.32 is: 17,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.36 : 23,546.70 = 12,883.32 : x
  2. Step 2: Convert to fraction form
    17,082.36/23,546.70 = 12,883.32/x
  3. Step 3: Cross multiply
    17,082.36x = 23,546.70 × 12,883.32
  4. Step 4: Simplify right side
    17,082.36x = 303,359,671.04
  5. Step 5: Solve for x
    x = 303,359,671.04/17,082.36
  6. Step 6: Final answer
    x = 17,758.65

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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.