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Finding the Fourth Proportional to 22,268.48, 33,382.84 and 8,427.20

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Solution

The fourth proportional to 22,268.48, 33,382.84 and 8,427.20 is: 12,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.48 : 33,382.84 = 8,427.20 : x
  2. Step 2: Convert to fraction form
    22,268.48/33,382.84 = 8,427.20/x
  3. Step 3: Cross multiply
    22,268.48x = 33,382.84 × 8,427.20
  4. Step 4: Simplify right side
    22,268.48x = 281,323,869.25
  5. Step 5: Solve for x
    x = 281,323,869.25/22,268.48
  6. Step 6: Final answer
    x = 12,633.28

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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.