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Finding the Fourth Proportional to 12,809.28, 17,676.77 and 7,144.04

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Solution

The fourth proportional to 12,809.28, 17,676.77 and 7,144.04 is: 9,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.28 : 17,676.77 = 7,144.04 : x
  2. Step 2: Convert to fraction form
    12,809.28/17,676.77 = 7,144.04/x
  3. Step 3: Cross multiply
    12,809.28x = 17,676.77 × 7,144.04
  4. Step 4: Simplify right side
    12,809.28x = 126,283,551.95
  5. Step 5: Solve for x
    x = 126,283,551.95/12,809.28
  6. Step 6: Final answer
    x = 9,858.75

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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.