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Finding the Fourth Proportional to 12,821.67, 17,694.05 and 7,516.58

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Solution

The fourth proportional to 12,821.67, 17,694.05 and 7,516.58 is: 10,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.67 : 17,694.05 = 7,516.58 : x
  2. Step 2: Convert to fraction form
    12,821.67/17,694.05 = 7,516.58/x
  3. Step 3: Cross multiply
    12,821.67x = 17,694.05 × 7,516.58
  4. Step 4: Simplify right side
    12,821.67x = 132,998,616.30
  5. Step 5: Solve for x
    x = 132,998,616.30/12,821.67
  6. Step 6: Final answer
    x = 10,372.96

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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.