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Finding the Fourth Proportional to 24,892.97, 37,338.23 and 9,309.38

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Solution

The fourth proportional to 24,892.97, 37,338.23 and 9,309.38 is: 13,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.97 : 37,338.23 = 9,309.38 : x
  2. Step 2: Convert to fraction form
    24,892.97/37,338.23 = 9,309.38/x
  3. Step 3: Cross multiply
    24,892.97x = 37,338.23 × 9,309.38
  4. Step 4: Simplify right side
    24,892.97x = 347,595,538.36
  5. Step 5: Solve for x
    x = 347,595,538.36/24,892.97
  6. Step 6: Final answer
    x = 13,963.61

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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.