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Finding the Fourth Proportional to 12,809.01, 17,676.54 and 7,144.12

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Solution

The fourth proportional to 12,809.01, 17,676.54 and 7,144.12 is: 9,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.01 : 17,676.54 = 7,144.12 : x
  2. Step 2: Convert to fraction form
    12,809.01/17,676.54 = 7,144.12/x
  3. Step 3: Cross multiply
    12,809.01x = 17,676.54 × 7,144.12
  4. Step 4: Simplify right side
    12,809.01x = 126,283,322.94
  5. Step 5: Solve for x
    x = 126,283,322.94/12,809.01
  6. Step 6: Final answer
    x = 9,858.94

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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.