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Finding the Fourth Proportional to 16,209.98, 22,369.12 and 9,137.87

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Solution

The fourth proportional to 16,209.98, 22,369.12 and 9,137.87 is: 12,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.98 : 22,369.12 = 9,137.87 : x
  2. Step 2: Convert to fraction form
    16,209.98/22,369.12 = 9,137.87/x
  3. Step 3: Cross multiply
    16,209.98x = 22,369.12 × 9,137.87
  4. Step 4: Simplify right side
    16,209.98x = 204,405,975.88
  5. Step 5: Solve for x
    x = 204,405,975.88/16,209.98
  6. Step 6: Final answer
    x = 12,609.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.