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Finding the Fourth Proportional to 12,809.22, 17,676.68 and 7,143.97

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Solution

The fourth proportional to 12,809.22, 17,676.68 and 7,143.97 is: 9,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.22 : 17,676.68 = 7,143.97 : x
  2. Step 2: Convert to fraction form
    12,809.22/17,676.68 = 7,143.97/x
  3. Step 3: Cross multiply
    12,809.22x = 17,676.68 × 7,143.97
  4. Step 4: Simplify right side
    12,809.22x = 126,281,671.62
  5. Step 5: Solve for x
    x = 126,281,671.62/12,809.22
  6. Step 6: Final answer
    x = 9,858.66

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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.