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Finding the Fourth Proportional to 16,116.12, 24,183 and 6,255.79

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Solution

The fourth proportional to 16,116.12, 24,183 and 6,255.79 is: 9,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.12 : 24,183 = 6,255.79 : x
  2. Step 2: Convert to fraction form
    16,116.12/24,183 = 6,255.79/x
  3. Step 3: Cross multiply
    16,116.12x = 24,183 × 6,255.79
  4. Step 4: Simplify right side
    16,116.12x = 151,283,769.57
  5. Step 5: Solve for x
    x = 151,283,769.57/16,116.12
  6. Step 6: Final answer
    x = 9,387.11

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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.