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Finding the Fourth Proportional to 26,488.32, 39,736.80 and 8,016

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Solution

The fourth proportional to 26,488.32, 39,736.80 and 8,016 is: 12,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,488.32 : 39,736.80 = 8,016 : x
  2. Step 2: Convert to fraction form
    26,488.32/39,736.80 = 8,016/x
  3. Step 3: Cross multiply
    26,488.32x = 39,736.80 × 8,016
  4. Step 4: Simplify right side
    26,488.32x = 318,530,188.80
  5. Step 5: Solve for x
    x = 318,530,188.80/26,488.32
  6. Step 6: Final answer
    x = 12,025.31

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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.