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Finding the Fourth Proportional to 16,842.86, 23,243.33 and 9,289.21

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Solution

The fourth proportional to 16,842.86, 23,243.33 and 9,289.21 is: 12,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.86 : 23,243.33 = 9,289.21 : x
  2. Step 2: Convert to fraction form
    16,842.86/23,243.33 = 9,289.21/x
  3. Step 3: Cross multiply
    16,842.86x = 23,243.33 × 9,289.21
  4. Step 4: Simplify right side
    16,842.86x = 215,912,138.58
  5. Step 5: Solve for x
    x = 215,912,138.58/16,842.86
  6. Step 6: Final answer
    x = 12,819.21

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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.