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Finding the Fourth Proportional to 17,082.80, 23,571.24 and 9,630.80

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Solution

The fourth proportional to 17,082.80, 23,571.24 and 9,630.80 is: 13,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.80 : 23,571.24 = 9,630.80 : x
  2. Step 2: Convert to fraction form
    17,082.80/23,571.24 = 9,630.80/x
  3. Step 3: Cross multiply
    17,082.80x = 23,571.24 × 9,630.80
  4. Step 4: Simplify right side
    17,082.80x = 227,009,898.19
  5. Step 5: Solve for x
    x = 227,009,898.19/17,082.80
  6. Step 6: Final answer
    x = 13,288.80

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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.