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Finding the Fourth Proportional to 12,906.23, 17,765.19 and 11,309.09

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Solution

The fourth proportional to 12,906.23, 17,765.19 and 11,309.09 is: 15,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.23 : 17,765.19 = 11,309.09 : x
  2. Step 2: Convert to fraction form
    12,906.23/17,765.19 = 11,309.09/x
  3. Step 3: Cross multiply
    12,906.23x = 17,765.19 × 11,309.09
  4. Step 4: Simplify right side
    12,906.23x = 200,908,043.75
  5. Step 5: Solve for x
    x = 200,908,043.75/12,906.23
  6. Step 6: Final answer
    x = 15,566.76

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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.