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Finding the Fourth Proportional to 12,107.08, 18,082.73 and 10,357.96

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Solution

The fourth proportional to 12,107.08, 18,082.73 and 10,357.96 is: 15,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.08 : 18,082.73 = 10,357.96 : x
  2. Step 2: Convert to fraction form
    12,107.08/18,082.73 = 10,357.96/x
  3. Step 3: Cross multiply
    12,107.08x = 18,082.73 × 10,357.96
  4. Step 4: Simplify right side
    12,107.08x = 187,300,194.03
  5. Step 5: Solve for x
    x = 187,300,194.03/12,107.08
  6. Step 6: Final answer
    x = 15,470.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.