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Finding the Fourth Proportional to 12,082.51, 16,635.96 and 10,975.34

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Solution

The fourth proportional to 12,082.51, 16,635.96 and 10,975.34 is: 15,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.51 : 16,635.96 = 10,975.34 : x
  2. Step 2: Convert to fraction form
    12,082.51/16,635.96 = 10,975.34/x
  3. Step 3: Cross multiply
    12,082.51x = 16,635.96 × 10,975.34
  4. Step 4: Simplify right side
    12,082.51x = 182,585,234.05
  5. Step 5: Solve for x
    x = 182,585,234.05/12,082.51
  6. Step 6: Final answer
    x = 15,111.54

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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.