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Finding the Fourth Proportional to 22,634.56, 31,235.97 and 12,563.99

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Solution

The fourth proportional to 22,634.56, 31,235.97 and 12,563.99 is: 17,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.56 : 31,235.97 = 12,563.99 : x
  2. Step 2: Convert to fraction form
    22,634.56/31,235.97 = 12,563.99/x
  3. Step 3: Cross multiply
    22,634.56x = 31,235.97 × 12,563.99
  4. Step 4: Simplify right side
    22,634.56x = 392,448,414.72
  5. Step 5: Solve for x
    x = 392,448,414.72/22,634.56
  6. Step 6: Final answer
    x = 17,338.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.