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Finding the Fourth Proportional to 17,314.41, 25,993.16 and 12,082.70

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Solution

The fourth proportional to 17,314.41, 25,993.16 and 12,082.70 is: 18,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.41 : 25,993.16 = 12,082.70 : x
  2. Step 2: Convert to fraction form
    17,314.41/25,993.16 = 12,082.70/x
  3. Step 3: Cross multiply
    17,314.41x = 25,993.16 × 12,082.70
  4. Step 4: Simplify right side
    17,314.41x = 314,067,363.95
  5. Step 5: Solve for x
    x = 314,067,363.95/17,314.41
  6. Step 6: Final answer
    x = 18,139.07

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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.