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Finding the Fourth Proportional to 12,800.76, 17,662.41 and 8,082.42

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Solution

The fourth proportional to 12,800.76, 17,662.41 and 8,082.42 is: 11,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.76 : 17,662.41 = 8,082.42 : x
  2. Step 2: Convert to fraction form
    12,800.76/17,662.41 = 8,082.42/x
  3. Step 3: Cross multiply
    12,800.76x = 17,662.41 × 8,082.42
  4. Step 4: Simplify right side
    12,800.76x = 142,755,015.83
  5. Step 5: Solve for x
    x = 142,755,015.83/12,800.76
  6. Step 6: Final answer
    x = 11,152.07

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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.