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Finding the Fourth Proportional to 12,676.14, 17,493.06 and 7,087.14

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Solution

The fourth proportional to 12,676.14, 17,493.06 and 7,087.14 is: 9,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.14 : 17,493.06 = 7,087.14 : x
  2. Step 2: Convert to fraction form
    12,676.14/17,493.06 = 7,087.14/x
  3. Step 3: Cross multiply
    12,676.14x = 17,493.06 × 7,087.14
  4. Step 4: Simplify right side
    12,676.14x = 123,975,765.25
  5. Step 5: Solve for x
    x = 123,975,765.25/12,676.14
  6. Step 6: Final answer
    x = 9,780.25

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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.