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Finding the Fourth Proportional to 16,842.62, 23,243.94 and 9,288.96

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Solution

The fourth proportional to 16,842.62, 23,243.94 and 9,288.96 is: 12,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.62 : 23,243.94 = 9,288.96 : x
  2. Step 2: Convert to fraction form
    16,842.62/23,243.94 = 9,288.96/x
  3. Step 3: Cross multiply
    16,842.62x = 23,243.94 × 9,288.96
  4. Step 4: Simplify right side
    16,842.62x = 215,912,028.90
  5. Step 5: Solve for x
    x = 215,912,028.90/16,842.62
  6. Step 6: Final answer
    x = 12,819.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.