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Finding the Fourth Proportional to 12,912.69, 17,815.64 and 7,605.57

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Solution

The fourth proportional to 12,912.69, 17,815.64 and 7,605.57 is: 10,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.69 : 17,815.64 = 7,605.57 : x
  2. Step 2: Convert to fraction form
    12,912.69/17,815.64 = 7,605.57/x
  3. Step 3: Cross multiply
    12,912.69x = 17,815.64 × 7,605.57
  4. Step 4: Simplify right side
    12,912.69x = 135,498,059.09
  5. Step 5: Solve for x
    x = 135,498,059.09/12,912.69
  6. Step 6: Final answer
    x = 10,493.40

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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.