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Finding the Fourth Proportional to 12,188.36, 16,817.87 and 6,883.67

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Solution

The fourth proportional to 12,188.36, 16,817.87 and 6,883.67 is: 9,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.36 : 16,817.87 = 6,883.67 : x
  2. Step 2: Convert to fraction form
    12,188.36/16,817.87 = 6,883.67/x
  3. Step 3: Cross multiply
    12,188.36x = 16,817.87 × 6,883.67
  4. Step 4: Simplify right side
    12,188.36x = 115,768,548.68
  5. Step 5: Solve for x
    x = 115,768,548.68/12,188.36
  6. Step 6: Final answer
    x = 9,498.29

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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.