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Finding the Fourth Proportional to 18,431.96, 27,662.52 and 8,051

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Solution

The fourth proportional to 18,431.96, 27,662.52 and 8,051 is: 12,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.96 : 27,662.52 = 8,051 : x
  2. Step 2: Convert to fraction form
    18,431.96/27,662.52 = 8,051/x
  3. Step 3: Cross multiply
    18,431.96x = 27,662.52 × 8,051
  4. Step 4: Simplify right side
    18,431.96x = 222,710,948.52
  5. Step 5: Solve for x
    x = 222,710,948.52/18,431.96
  6. Step 6: Final answer
    x = 12,082.87

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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.