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Finding the Fourth Proportional to 12,757.24, 17,604.98 and 7,091.81

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Solution

The fourth proportional to 12,757.24, 17,604.98 and 7,091.81 is: 9,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.24 : 17,604.98 = 7,091.81 : x
  2. Step 2: Convert to fraction form
    12,757.24/17,604.98 = 7,091.81/x
  3. Step 3: Cross multiply
    12,757.24x = 17,604.98 × 7,091.81
  4. Step 4: Simplify right side
    12,757.24x = 124,851,173.21
  5. Step 5: Solve for x
    x = 124,851,173.21/12,757.24
  6. Step 6: Final answer
    x = 9,786.69

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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.