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Finding the Fourth Proportional to 17,082.64, 25,632.33 and 11,463.85

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Solution

The fourth proportional to 17,082.64, 25,632.33 and 11,463.85 is: 17,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.64 : 25,632.33 = 11,463.85 : x
  2. Step 2: Convert to fraction form
    17,082.64/25,632.33 = 11,463.85/x
  3. Step 3: Cross multiply
    17,082.64x = 25,632.33 × 11,463.85
  4. Step 4: Simplify right side
    17,082.64x = 293,845,186.27
  5. Step 5: Solve for x
    x = 293,845,186.27/17,082.64
  6. Step 6: Final answer
    x = 17,201.39

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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.