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Finding the Fourth Proportional to 16,377.72, 24,571.36 and 5,284.18

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Solution

The fourth proportional to 16,377.72, 24,571.36 and 5,284.18 is: 7,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.72 : 24,571.36 = 5,284.18 : x
  2. Step 2: Convert to fraction form
    16,377.72/24,571.36 = 5,284.18/x
  3. Step 3: Cross multiply
    16,377.72x = 24,571.36 × 5,284.18
  4. Step 4: Simplify right side
    16,377.72x = 129,839,489.08
  5. Step 5: Solve for x
    x = 129,839,489.08/16,377.72
  6. Step 6: Final answer
    x = 7,927.81

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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.