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Finding the Fourth Proportional to 16,222.08, 22,385.79 and 9,149.16

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Solution

The fourth proportional to 16,222.08, 22,385.79 and 9,149.16 is: 12,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.08 : 22,385.79 = 9,149.16 : x
  2. Step 2: Convert to fraction form
    16,222.08/22,385.79 = 9,149.16/x
  3. Step 3: Cross multiply
    16,222.08x = 22,385.79 × 9,149.16
  4. Step 4: Simplify right side
    16,222.08x = 204,811,174.44
  5. Step 5: Solve for x
    x = 204,811,174.44/16,222.08
  6. Step 6: Final answer
    x = 12,625.46

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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.