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Finding the Fourth Proportional to 17,082.10, 25,623.15 and 9,709.30

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Solution

The fourth proportional to 17,082.10, 25,623.15 and 9,709.30 is: 14,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.10 : 25,623.15 = 9,709.30 : x
  2. Step 2: Convert to fraction form
    17,082.10/25,623.15 = 9,709.30/x
  3. Step 3: Cross multiply
    17,082.10x = 25,623.15 × 9,709.30
  4. Step 4: Simplify right side
    17,082.10x = 248,782,850.30
  5. Step 5: Solve for x
    x = 248,782,850.30/17,082.10
  6. Step 6: Final answer
    x = 14,563.95

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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.