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Finding the Fourth Proportional to 22,576.92, 31,146.24 and 13,619.44

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Solution

The fourth proportional to 22,576.92, 31,146.24 and 13,619.44 is: 18,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.92 : 31,146.24 = 13,619.44 : x
  2. Step 2: Convert to fraction form
    22,576.92/31,146.24 = 13,619.44/x
  3. Step 3: Cross multiply
    22,576.92x = 31,146.24 × 13,619.44
  4. Step 4: Simplify right side
    22,576.92x = 424,194,346.91
  5. Step 5: Solve for x
    x = 424,194,346.91/22,576.92
  6. Step 6: Final answer
    x = 18,788.85

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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.