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Finding the Fourth Proportional to 17,082.80, 25,623.12 and 7,723.52

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Solution

The fourth proportional to 17,082.80, 25,623.12 and 7,723.52 is: 11,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.80 : 25,623.12 = 7,723.52 : x
  2. Step 2: Convert to fraction form
    17,082.80/25,623.12 = 7,723.52/x
  3. Step 3: Cross multiply
    17,082.80x = 25,623.12 × 7,723.52
  4. Step 4: Simplify right side
    17,082.80x = 197,900,679.78
  5. Step 5: Solve for x
    x = 197,900,679.78/17,082.80
  6. Step 6: Final answer
    x = 11,584.79

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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.