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Finding the Fourth Proportional to 22,606.20, 33,914.16 and 9,451.80

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Solution

The fourth proportional to 22,606.20, 33,914.16 and 9,451.80 is: 14,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.20 : 33,914.16 = 9,451.80 : x
  2. Step 2: Convert to fraction form
    22,606.20/33,914.16 = 9,451.80/x
  3. Step 3: Cross multiply
    22,606.20x = 33,914.16 × 9,451.80
  4. Step 4: Simplify right side
    22,606.20x = 320,549,857.49
  5. Step 5: Solve for x
    x = 320,549,857.49/22,606.20
  6. Step 6: Final answer
    x = 14,179.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.