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Finding the Fourth Proportional to 16,448.50, 24,672.96 and 4,761.73

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Solution

The fourth proportional to 16,448.50, 24,672.96 and 4,761.73 is: 7,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.50 : 24,672.96 = 4,761.73 : x
  2. Step 2: Convert to fraction form
    16,448.50/24,672.96 = 4,761.73/x
  3. Step 3: Cross multiply
    16,448.50x = 24,672.96 × 4,761.73
  4. Step 4: Simplify right side
    16,448.50x = 117,485,973.82
  5. Step 5: Solve for x
    x = 117,485,973.82/16,448.50
  6. Step 6: Final answer
    x = 7,142.66

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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.