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Finding the Fourth Proportional to 16,369.68, 24,533.97 and 6,998.69

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Solution

The fourth proportional to 16,369.68, 24,533.97 and 6,998.69 is: 10,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.68 : 24,533.97 = 6,998.69 : x
  2. Step 2: Convert to fraction form
    16,369.68/24,533.97 = 6,998.69/x
  3. Step 3: Cross multiply
    16,369.68x = 24,533.97 × 6,998.69
  4. Step 4: Simplify right side
    16,369.68x = 171,705,586.95
  5. Step 5: Solve for x
    x = 171,705,586.95/16,369.68
  6. Step 6: Final answer
    x = 10,489.25

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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.