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Finding the Fourth Proportional to 16,358.28, 22,576.44 and 9,286.96

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Solution

The fourth proportional to 16,358.28, 22,576.44 and 9,286.96 is: 12,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.28 : 22,576.44 = 9,286.96 : x
  2. Step 2: Convert to fraction form
    16,358.28/22,576.44 = 9,286.96/x
  3. Step 3: Cross multiply
    16,358.28x = 22,576.44 × 9,286.96
  4. Step 4: Simplify right side
    16,358.28x = 209,666,495.22
  5. Step 5: Solve for x
    x = 209,666,495.22/16,358.28
  6. Step 6: Final answer
    x = 12,817.15

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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.