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Finding the Fourth Proportional to 12,174.72, 16,823.96 and 9,185.22

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Solution

The fourth proportional to 12,174.72, 16,823.96 and 9,185.22 is: 12,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.72 : 16,823.96 = 9,185.22 : x
  2. Step 2: Convert to fraction form
    12,174.72/16,823.96 = 9,185.22/x
  3. Step 3: Cross multiply
    12,174.72x = 16,823.96 × 9,185.22
  4. Step 4: Simplify right side
    12,174.72x = 154,531,727.95
  5. Step 5: Solve for x
    x = 154,531,727.95/12,174.72
  6. Step 6: Final answer
    x = 12,692.84

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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.