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Finding the Fourth Proportional to 16,283.72, 22,472.39 and 9,113.20

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Solution

The fourth proportional to 16,283.72, 22,472.39 and 9,113.20 is: 12,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.72 : 22,472.39 = 9,113.20 : x
  2. Step 2: Convert to fraction form
    16,283.72/22,472.39 = 9,113.20/x
  3. Step 3: Cross multiply
    16,283.72x = 22,472.39 × 9,113.20
  4. Step 4: Simplify right side
    16,283.72x = 204,795,351.15
  5. Step 5: Solve for x
    x = 204,795,351.15/16,283.72
  6. Step 6: Final answer
    x = 12,576.69

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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.