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Finding the Fourth Proportional to 26,675, 40,036.76 and 14,205.48

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Solution

The fourth proportional to 26,675, 40,036.76 and 14,205.48 is: 21,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,675 : 40,036.76 = 14,205.48 : x
  2. Step 2: Convert to fraction form
    26,675/40,036.76 = 14,205.48/x
  3. Step 3: Cross multiply
    26,675x = 40,036.76 × 14,205.48
  4. Step 4: Simplify right side
    26,675x = 568,741,393.44
  5. Step 5: Solve for x
    x = 568,741,393.44/26,675
  6. Step 6: Final answer
    x = 21,321.14

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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.