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Finding the Fourth Proportional to 17,842.60, 26,771.36 and 7,842.19

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Solution

The fourth proportional to 17,842.60, 26,771.36 and 7,842.19 is: 11,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.60 : 26,771.36 = 7,842.19 : x
  2. Step 2: Convert to fraction form
    17,842.60/26,771.36 = 7,842.19/x
  3. Step 3: Cross multiply
    17,842.60x = 26,771.36 × 7,842.19
  4. Step 4: Simplify right side
    17,842.60x = 209,946,091.68
  5. Step 5: Solve for x
    x = 209,946,091.68/17,842.60
  6. Step 6: Final answer
    x = 11,766.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.