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Finding the Fourth Proportional to 16,163.50, 22,305.49 and 9,089.77

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Solution

The fourth proportional to 16,163.50, 22,305.49 and 9,089.77 is: 12,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.50 : 22,305.49 = 9,089.77 : x
  2. Step 2: Convert to fraction form
    16,163.50/22,305.49 = 9,089.77/x
  3. Step 3: Cross multiply
    16,163.50x = 22,305.49 × 9,089.77
  4. Step 4: Simplify right side
    16,163.50x = 202,751,773.84
  5. Step 5: Solve for x
    x = 202,751,773.84/16,163.50
  6. Step 6: Final answer
    x = 12,543.80

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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.