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Finding the Fourth Proportional to 16,205.73, 22,363.77 and 9,035.57

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Solution

The fourth proportional to 16,205.73, 22,363.77 and 9,035.57 is: 12,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.73 : 22,363.77 = 9,035.57 : x
  2. Step 2: Convert to fraction form
    16,205.73/22,363.77 = 9,035.57/x
  3. Step 3: Cross multiply
    16,205.73x = 22,363.77 × 9,035.57
  4. Step 4: Simplify right side
    16,205.73x = 202,069,409.30
  5. Step 5: Solve for x
    x = 202,069,409.30/16,205.73
  6. Step 6: Final answer
    x = 12,469.01

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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.