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Finding the Fourth Proportional to 12,694.56, 17,519.60 and 8,438.16

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Solution

The fourth proportional to 12,694.56, 17,519.60 and 8,438.16 is: 11,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.56 : 17,519.60 = 8,438.16 : x
  2. Step 2: Convert to fraction form
    12,694.56/17,519.60 = 8,438.16/x
  3. Step 3: Cross multiply
    12,694.56x = 17,519.60 × 8,438.16
  4. Step 4: Simplify right side
    12,694.56x = 147,833,187.94
  5. Step 5: Solve for x
    x = 147,833,187.94/12,694.56
  6. Step 6: Final answer
    x = 11,645.40

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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.