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Finding the Fourth Proportional to 26,494.32, 39,745.80 and 8,022

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Solution

The fourth proportional to 26,494.32, 39,745.80 and 8,022 is: 12,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.32 : 39,745.80 = 8,022 : x
  2. Step 2: Convert to fraction form
    26,494.32/39,745.80 = 8,022/x
  3. Step 3: Cross multiply
    26,494.32x = 39,745.80 × 8,022
  4. Step 4: Simplify right side
    26,494.32x = 318,840,807.60
  5. Step 5: Solve for x
    x = 318,840,807.60/26,494.32
  6. Step 6: Final answer
    x = 12,034.31

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Why These Related Problems?

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