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Finding the Fourth Proportional to 22,813.74, 31,469.83 and 13,732.79

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Solution

The fourth proportional to 22,813.74, 31,469.83 and 13,732.79 is: 18,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.74 : 31,469.83 = 13,732.79 : x
  2. Step 2: Convert to fraction form
    22,813.74/31,469.83 = 13,732.79/x
  3. Step 3: Cross multiply
    22,813.74x = 31,469.83 × 13,732.79
  4. Step 4: Simplify right side
    22,813.74x = 432,168,375.04
  5. Step 5: Solve for x
    x = 432,168,375.04/22,813.74
  6. Step 6: Final answer
    x = 18,943.34

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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.