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Finding the Fourth Proportional to 12,789.09, 17,638.16 and 8,309.39

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Solution

The fourth proportional to 12,789.09, 17,638.16 and 8,309.39 is: 11,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.09 : 17,638.16 = 8,309.39 : x
  2. Step 2: Convert to fraction form
    12,789.09/17,638.16 = 8,309.39/x
  3. Step 3: Cross multiply
    12,789.09x = 17,638.16 × 8,309.39
  4. Step 4: Simplify right side
    12,789.09x = 146,562,220.58
  5. Step 5: Solve for x
    x = 146,562,220.58/12,789.09
  6. Step 6: Final answer
    x = 11,459.94

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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.