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Finding the Fourth Proportional to 12,625.77, 17,409.13 and 8,082.48

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Solution

The fourth proportional to 12,625.77, 17,409.13 and 8,082.48 is: 11,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625.77 : 17,409.13 = 8,082.48 : x
  2. Step 2: Convert to fraction form
    12,625.77/17,409.13 = 8,082.48/x
  3. Step 3: Cross multiply
    12,625.77x = 17,409.13 × 8,082.48
  4. Step 4: Simplify right side
    12,625.77x = 140,708,990.12
  5. Step 5: Solve for x
    x = 140,708,990.12/12,625.77
  6. Step 6: Final answer
    x = 11,144.58

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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.