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Finding the Fourth Proportional to 26,704.16, 40,064.28 and 7,984.82

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Solution

The fourth proportional to 26,704.16, 40,064.28 and 7,984.82 is: 11,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704.16 : 40,064.28 = 7,984.82 : x
  2. Step 2: Convert to fraction form
    26,704.16/40,064.28 = 7,984.82/x
  3. Step 3: Cross multiply
    26,704.16x = 40,064.28 × 7,984.82
  4. Step 4: Simplify right side
    26,704.16x = 319,906,064.23
  5. Step 5: Solve for x
    x = 319,906,064.23/26,704.16
  6. Step 6: Final answer
    x = 11,979.63

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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.