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Finding the Fourth Proportional to 16,321.33, 24,478.35 and 6,462.82

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Solution

The fourth proportional to 16,321.33, 24,478.35 and 6,462.82 is: 9,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.33 : 24,478.35 = 6,462.82 : x
  2. Step 2: Convert to fraction form
    16,321.33/24,478.35 = 6,462.82/x
  3. Step 3: Cross multiply
    16,321.33x = 24,478.35 × 6,462.82
  4. Step 4: Simplify right side
    16,321.33x = 158,199,169.95
  5. Step 5: Solve for x
    x = 158,199,169.95/16,321.33
  6. Step 6: Final answer
    x = 9,692.79

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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.