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Finding the Fourth Proportional to 16,206.95, 24,309.97 and 8,857.96

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Solution

The fourth proportional to 16,206.95, 24,309.97 and 8,857.96 is: 13,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.95 : 24,309.97 = 8,857.96 : x
  2. Step 2: Convert to fraction form
    16,206.95/24,309.97 = 8,857.96/x
  3. Step 3: Cross multiply
    16,206.95x = 24,309.97 × 8,857.96
  4. Step 4: Simplify right side
    16,206.95x = 215,336,658.94
  5. Step 5: Solve for x
    x = 215,336,658.94/16,206.95
  6. Step 6: Final answer
    x = 13,286.68

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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.