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Finding the Fourth Proportional to 16,229.29, 22,396.43 and 9,157.21

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Solution

The fourth proportional to 16,229.29, 22,396.43 and 9,157.21 is: 12,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.29 : 22,396.43 = 9,157.21 : x
  2. Step 2: Convert to fraction form
    16,229.29/22,396.43 = 9,157.21/x
  3. Step 3: Cross multiply
    16,229.29x = 22,396.43 × 9,157.21
  4. Step 4: Simplify right side
    16,229.29x = 205,088,766.97
  5. Step 5: Solve for x
    x = 205,088,766.97/16,229.29
  6. Step 6: Final answer
    x = 12,636.95

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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.