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Finding the Fourth Proportional to 15,930.81, 23,882.04 and 8,022.96

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Solution

The fourth proportional to 15,930.81, 23,882.04 and 8,022.96 is: 12,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.81 : 23,882.04 = 8,022.96 : x
  2. Step 2: Convert to fraction form
    15,930.81/23,882.04 = 8,022.96/x
  3. Step 3: Cross multiply
    15,930.81x = 23,882.04 × 8,022.96
  4. Step 4: Simplify right side
    15,930.81x = 191,604,651.64
  5. Step 5: Solve for x
    x = 191,604,651.64/15,930.81
  6. Step 6: Final answer
    x = 12,027.30

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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.