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Finding the Fourth Proportional to 16,183.53, 24,284.70 and 6,322.32

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Solution

The fourth proportional to 16,183.53, 24,284.70 and 6,322.32 is: 9,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.53 : 24,284.70 = 6,322.32 : x
  2. Step 2: Convert to fraction form
    16,183.53/24,284.70 = 6,322.32/x
  3. Step 3: Cross multiply
    16,183.53x = 24,284.70 × 6,322.32
  4. Step 4: Simplify right side
    16,183.53x = 153,535,644.50
  5. Step 5: Solve for x
    x = 153,535,644.50/16,183.53
  6. Step 6: Final answer
    x = 9,487.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.