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Finding the Fourth Proportional to 22,382.64, 33,569.16 and 9,231.60

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Solution

The fourth proportional to 22,382.64, 33,569.16 and 9,231.60 is: 13,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.64 : 33,569.16 = 9,231.60 : x
  2. Step 2: Convert to fraction form
    22,382.64/33,569.16 = 9,231.60/x
  3. Step 3: Cross multiply
    22,382.64x = 33,569.16 × 9,231.60
  4. Step 4: Simplify right side
    22,382.64x = 309,897,057.46
  5. Step 5: Solve for x
    x = 309,897,057.46/22,382.64
  6. Step 6: Final answer
    x = 13,845.42

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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.