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Finding the Fourth Proportional to 16,499.44, 24,755.64 and 6,112

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Solution

The fourth proportional to 16,499.44, 24,755.64 and 6,112 is: 9,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.44 : 24,755.64 = 6,112 : x
  2. Step 2: Convert to fraction form
    16,499.44/24,755.64 = 6,112/x
  3. Step 3: Cross multiply
    16,499.44x = 24,755.64 × 6,112
  4. Step 4: Simplify right side
    16,499.44x = 151,306,471.68
  5. Step 5: Solve for x
    x = 151,306,471.68/16,499.44
  6. Step 6: Final answer
    x = 9,170.40

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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.