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Finding the Fourth Proportional to 16,309.26, 24,467.54 and 6,449.54

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Solution

The fourth proportional to 16,309.26, 24,467.54 and 6,449.54 is: 9,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.26 : 24,467.54 = 6,449.54 : x
  2. Step 2: Convert to fraction form
    16,309.26/24,467.54 = 6,449.54/x
  3. Step 3: Cross multiply
    16,309.26x = 24,467.54 × 6,449.54
  4. Step 4: Simplify right side
    16,309.26x = 157,804,223.35
  5. Step 5: Solve for x
    x = 157,804,223.35/16,309.26
  6. Step 6: Final answer
    x = 9,675.74

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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.