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Finding the Fourth Proportional to 11,969.35, 17,945.07 and 8,260.99

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Solution

The fourth proportional to 11,969.35, 17,945.07 and 8,260.99 is: 12,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.35 : 17,945.07 = 8,260.99 : x
  2. Step 2: Convert to fraction form
    11,969.35/17,945.07 = 8,260.99/x
  3. Step 3: Cross multiply
    11,969.35x = 17,945.07 × 8,260.99
  4. Step 4: Simplify right side
    11,969.35x = 148,244,043.82
  5. Step 5: Solve for x
    x = 148,244,043.82/11,969.35
  6. Step 6: Final answer
    x = 12,385.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.