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Finding the Fourth Proportional to 16,270.20, 22,451.04 and 9,196.61

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Solution

The fourth proportional to 16,270.20, 22,451.04 and 9,196.61 is: 12,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.20 : 22,451.04 = 9,196.61 : x
  2. Step 2: Convert to fraction form
    16,270.20/22,451.04 = 9,196.61/x
  3. Step 3: Cross multiply
    16,270.20x = 22,451.04 × 9,196.61
  4. Step 4: Simplify right side
    16,270.20x = 206,473,346.72
  5. Step 5: Solve for x
    x = 206,473,346.72/16,270.20
  6. Step 6: Final answer
    x = 12,690.28

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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.