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Finding the Fourth Proportional to 16,157.16, 24,231.03 and 6,294.24

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Solution

The fourth proportional to 16,157.16, 24,231.03 and 6,294.24 is: 9,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.16 : 24,231.03 = 6,294.24 : x
  2. Step 2: Convert to fraction form
    16,157.16/24,231.03 = 6,294.24/x
  3. Step 3: Cross multiply
    16,157.16x = 24,231.03 × 6,294.24
  4. Step 4: Simplify right side
    16,157.16x = 152,515,918.27
  5. Step 5: Solve for x
    x = 152,515,918.27/16,157.16
  6. Step 6: Final answer
    x = 9,439.53

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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.