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Finding the Fourth Proportional to 26,704.36, 40,057.53 and 7,984.63

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Solution

The fourth proportional to 26,704.36, 40,057.53 and 7,984.63 is: 11,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704.36 : 40,057.53 = 7,984.63 : x
  2. Step 2: Convert to fraction form
    26,704.36/40,057.53 = 7,984.63/x
  3. Step 3: Cross multiply
    26,704.36x = 40,057.53 × 7,984.63
  4. Step 4: Simplify right side
    26,704.36x = 319,844,555.76
  5. Step 5: Solve for x
    x = 319,844,555.76/26,704.36
  6. Step 6: Final answer
    x = 11,977.24

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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.