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Finding the Fourth Proportional to 14,082.39, 21,144.33 and 7,854.57

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Solution

The fourth proportional to 14,082.39, 21,144.33 and 7,854.57 is: 11,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.39 : 21,144.33 = 7,854.57 : x
  2. Step 2: Convert to fraction form
    14,082.39/21,144.33 = 7,854.57/x
  3. Step 3: Cross multiply
    14,082.39x = 21,144.33 × 7,854.57
  4. Step 4: Simplify right side
    14,082.39x = 166,079,620.09
  5. Step 5: Solve for x
    x = 166,079,620.09/14,082.39
  6. Step 6: Final answer
    x = 11,793.43

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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.