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Finding the Fourth Proportional to 16,313.82, 24,462.98 and 6,323.24

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Solution

The fourth proportional to 16,313.82, 24,462.98 and 6,323.24 is: 9,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.82 : 24,462.98 = 6,323.24 : x
  2. Step 2: Convert to fraction form
    16,313.82/24,462.98 = 6,323.24/x
  3. Step 3: Cross multiply
    16,313.82x = 24,462.98 × 6,323.24
  4. Step 4: Simplify right side
    16,313.82x = 154,685,293.66
  5. Step 5: Solve for x
    x = 154,685,293.66/16,313.82
  6. Step 6: Final answer
    x = 9,481.86

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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.