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Finding the Fourth Proportional to 16,842.90, 23,243.78 and 9,289.46

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Solution

The fourth proportional to 16,842.90, 23,243.78 and 9,289.46 is: 12,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.90 : 23,243.78 = 9,289.46 : x
  2. Step 2: Convert to fraction form
    16,842.90/23,243.78 = 9,289.46/x
  3. Step 3: Cross multiply
    16,842.90x = 23,243.78 × 9,289.46
  4. Step 4: Simplify right side
    16,842.90x = 215,922,245.89
  5. Step 5: Solve for x
    x = 215,922,245.89/16,842.90
  6. Step 6: Final answer
    x = 12,819.78

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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.