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Finding the Fourth Proportional to 22,382.28, 33,544.68 and 9,243.90

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Solution

The fourth proportional to 22,382.28, 33,544.68 and 9,243.90 is: 13,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.28 : 33,544.68 = 9,243.90 : x
  2. Step 2: Convert to fraction form
    22,382.28/33,544.68 = 9,243.90/x
  3. Step 3: Cross multiply
    22,382.28x = 33,544.68 × 9,243.90
  4. Step 4: Simplify right side
    22,382.28x = 310,083,667.45
  5. Step 5: Solve for x
    x = 310,083,667.45/22,382.28
  6. Step 6: Final answer
    x = 13,853.98

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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.