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Finding the Fourth Proportional to 16,182.96, 24,276.78 and 7,863.45

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Solution

The fourth proportional to 16,182.96, 24,276.78 and 7,863.45 is: 11,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.96 : 24,276.78 = 7,863.45 : x
  2. Step 2: Convert to fraction form
    16,182.96/24,276.78 = 7,863.45/x
  3. Step 3: Cross multiply
    16,182.96x = 24,276.78 × 7,863.45
  4. Step 4: Simplify right side
    16,182.96x = 190,899,245.69
  5. Step 5: Solve for x
    x = 190,899,245.69/16,182.96
  6. Step 6: Final answer
    x = 11,796.31

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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.