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Finding the Fourth Proportional to 12,849.90, 17,735.81 and 8,365.83

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Solution

The fourth proportional to 12,849.90, 17,735.81 and 8,365.83 is: 11,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.90 : 17,735.81 = 8,365.83 : x
  2. Step 2: Convert to fraction form
    12,849.90/17,735.81 = 8,365.83/x
  3. Step 3: Cross multiply
    12,849.90x = 17,735.81 × 8,365.83
  4. Step 4: Simplify right side
    12,849.90x = 148,374,771.37
  5. Step 5: Solve for x
    x = 148,374,771.37/12,849.90
  6. Step 6: Final answer
    x = 11,546.76

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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.