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Finding the Fourth Proportional to 16,213.69, 24,321.79 and 6,223.24

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Solution

The fourth proportional to 16,213.69, 24,321.79 and 6,223.24 is: 9,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.69 : 24,321.79 = 6,223.24 : x
  2. Step 2: Convert to fraction form
    16,213.69/24,321.79 = 6,223.24/x
  3. Step 3: Cross multiply
    16,213.69x = 24,321.79 × 6,223.24
  4. Step 4: Simplify right side
    16,213.69x = 151,360,426.29
  5. Step 5: Solve for x
    x = 151,360,426.29/16,213.69
  6. Step 6: Final answer
    x = 9,335.34

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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.