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Finding the Fourth Proportional to 16,200.50, 24,245.88 and 9,964.47

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Solution

The fourth proportional to 16,200.50, 24,245.88 and 9,964.47 is: 14,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.50 : 24,245.88 = 9,964.47 : x
  2. Step 2: Convert to fraction form
    16,200.50/24,245.88 = 9,964.47/x
  3. Step 3: Cross multiply
    16,200.50x = 24,245.88 × 9,964.47
  4. Step 4: Simplify right side
    16,200.50x = 241,597,343.88
  5. Step 5: Solve for x
    x = 241,597,343.88/16,200.50
  6. Step 6: Final answer
    x = 14,912.96

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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.