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Finding the Fourth Proportional to 16,299.68, 24,441.26 and 7,967.21

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Solution

The fourth proportional to 16,299.68, 24,441.26 and 7,967.21 is: 11,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.68 : 24,441.26 = 7,967.21 : x
  2. Step 2: Convert to fraction form
    16,299.68/24,441.26 = 7,967.21/x
  3. Step 3: Cross multiply
    16,299.68x = 24,441.26 × 7,967.21
  4. Step 4: Simplify right side
    16,299.68x = 194,728,489.04
  5. Step 5: Solve for x
    x = 194,728,489.04/16,299.68
  6. Step 6: Final answer
    x = 11,946.77

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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.