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Finding the Fourth Proportional to 22,097.71, 33,142.24 and 8,243.95

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Solution

The fourth proportional to 22,097.71, 33,142.24 and 8,243.95 is: 12,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.71 : 33,142.24 = 8,243.95 : x
  2. Step 2: Convert to fraction form
    22,097.71/33,142.24 = 8,243.95/x
  3. Step 3: Cross multiply
    22,097.71x = 33,142.24 × 8,243.95
  4. Step 4: Simplify right side
    22,097.71x = 273,222,969.45
  5. Step 5: Solve for x
    x = 273,222,969.45/22,097.71
  6. Step 6: Final answer
    x = 12,364.31

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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.