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Finding the Fourth Proportional to 16,517.12, 24,783.76 and 8,197.92

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Solution

The fourth proportional to 16,517.12, 24,783.76 and 8,197.92 is: 12,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.12 : 24,783.76 = 8,197.92 : x
  2. Step 2: Convert to fraction form
    16,517.12/24,783.76 = 8,197.92/x
  3. Step 3: Cross multiply
    16,517.12x = 24,783.76 × 8,197.92
  4. Step 4: Simplify right side
    16,517.12x = 203,175,281.78
  5. Step 5: Solve for x
    x = 203,175,281.78/16,517.12
  6. Step 6: Final answer
    x = 12,300.89

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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.