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Finding the Fourth Proportional to 12,739.70, 17,581.89 and 7,075.54

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Solution

The fourth proportional to 12,739.70, 17,581.89 and 7,075.54 is: 9,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.70 : 17,581.89 = 7,075.54 : x
  2. Step 2: Convert to fraction form
    12,739.70/17,581.89 = 7,075.54/x
  3. Step 3: Cross multiply
    12,739.70x = 17,581.89 × 7,075.54
  4. Step 4: Simplify right side
    12,739.70x = 124,401,365.97
  5. Step 5: Solve for x
    x = 124,401,365.97/12,739.70
  6. Step 6: Final answer
    x = 9,764.86

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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.