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Finding the Fourth Proportional to 12,914.51, 17,817.45 and 8,440.85

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Solution

The fourth proportional to 12,914.51, 17,817.45 and 8,440.85 is: 11,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.51 : 17,817.45 = 8,440.85 : x
  2. Step 2: Convert to fraction form
    12,914.51/17,817.45 = 8,440.85/x
  3. Step 3: Cross multiply
    12,914.51x = 17,817.45 × 8,440.85
  4. Step 4: Simplify right side
    12,914.51x = 150,394,317.04
  5. Step 5: Solve for x
    x = 150,394,317.04/12,914.51
  6. Step 6: Final answer
    x = 11,645.37

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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.