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Finding the Fourth Proportional to 19,082.81, 28,625.04 and 5,231.81

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Solution

The fourth proportional to 19,082.81, 28,625.04 and 5,231.81 is: 7,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082.81 : 28,625.04 = 5,231.81 : x
  2. Step 2: Convert to fraction form
    19,082.81/28,625.04 = 5,231.81/x
  3. Step 3: Cross multiply
    19,082.81x = 28,625.04 × 5,231.81
  4. Step 4: Simplify right side
    19,082.81x = 149,760,842.09
  5. Step 5: Solve for x
    x = 149,760,842.09/19,082.81
  6. Step 6: Final answer
    x = 7,847.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.