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Finding the Fourth Proportional to 16,842.25, 23,241.99 and 9,289.27

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Solution

The fourth proportional to 16,842.25, 23,241.99 and 9,289.27 is: 12,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.25 : 23,241.99 = 9,289.27 : x
  2. Step 2: Convert to fraction form
    16,842.25/23,241.99 = 9,289.27/x
  3. Step 3: Cross multiply
    16,842.25x = 23,241.99 × 9,289.27
  4. Step 4: Simplify right side
    16,842.25x = 215,901,120.45
  5. Step 5: Solve for x
    x = 215,901,120.45/16,842.25
  6. Step 6: Final answer
    x = 12,819.02

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