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Finding the Fourth Proportional to 16,000.98, 24,014.30 and 7,236.64

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Solution

The fourth proportional to 16,000.98, 24,014.30 and 7,236.64 is: 10,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.98 : 24,014.30 = 7,236.64 : x
  2. Step 2: Convert to fraction form
    16,000.98/24,014.30 = 7,236.64/x
  3. Step 3: Cross multiply
    16,000.98x = 24,014.30 × 7,236.64
  4. Step 4: Simplify right side
    16,000.98x = 173,782,843.95
  5. Step 5: Solve for x
    x = 173,782,843.95/16,000.98
  6. Step 6: Final answer
    x = 10,860.76

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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.