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Finding the Fourth Proportional to 16,295.72, 22,489.85 and 9,222.80

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Solution

The fourth proportional to 16,295.72, 22,489.85 and 9,222.80 is: 12,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.72 : 22,489.85 = 9,222.80 : x
  2. Step 2: Convert to fraction form
    16,295.72/22,489.85 = 9,222.80/x
  3. Step 3: Cross multiply
    16,295.72x = 22,489.85 × 9,222.80
  4. Step 4: Simplify right side
    16,295.72x = 207,419,299.19
  5. Step 5: Solve for x
    x = 207,419,299.19/16,295.72
  6. Step 6: Final answer
    x = 12,728.46

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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.