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Finding the Fourth Proportional to 16,538.76, 24,791.52 and 8,205.96

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Solution

The fourth proportional to 16,538.76, 24,791.52 and 8,205.96 is: 12,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.76 : 24,791.52 = 8,205.96 : x
  2. Step 2: Convert to fraction form
    16,538.76/24,791.52 = 8,205.96/x
  3. Step 3: Cross multiply
    16,538.76x = 24,791.52 × 8,205.96
  4. Step 4: Simplify right side
    16,538.76x = 203,438,221.46
  5. Step 5: Solve for x
    x = 203,438,221.46/16,538.76
  6. Step 6: Final answer
    x = 12,300.69

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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.