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Finding the Fourth Proportional to 22,448.48, 33,672.89 and 9,965.15

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Solution

The fourth proportional to 22,448.48, 33,672.89 and 9,965.15 is: 14,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.48 : 33,672.89 = 9,965.15 : x
  2. Step 2: Convert to fraction form
    22,448.48/33,672.89 = 9,965.15/x
  3. Step 3: Cross multiply
    22,448.48x = 33,672.89 × 9,965.15
  4. Step 4: Simplify right side
    22,448.48x = 335,555,399.78
  5. Step 5: Solve for x
    x = 335,555,399.78/22,448.48
  6. Step 6: Final answer
    x = 14,947.80

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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.