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Finding the Fourth Proportional to 26,507.42, 39,759.87 and 7,786.70

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Solution

The fourth proportional to 26,507.42, 39,759.87 and 7,786.70 is: 11,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.42 : 39,759.87 = 7,786.70 : x
  2. Step 2: Convert to fraction form
    26,507.42/39,759.87 = 7,786.70/x
  3. Step 3: Cross multiply
    26,507.42x = 39,759.87 × 7,786.70
  4. Step 4: Simplify right side
    26,507.42x = 309,598,179.73
  5. Step 5: Solve for x
    x = 309,598,179.73/26,507.42
  6. Step 6: Final answer
    x = 11,679.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.