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Finding the Fourth Proportional to 12,409.22, 17,126.28 and 7,694.21

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Solution

The fourth proportional to 12,409.22, 17,126.28 and 7,694.21 is: 10,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.22 : 17,126.28 = 7,694.21 : x
  2. Step 2: Convert to fraction form
    12,409.22/17,126.28 = 7,694.21/x
  3. Step 3: Cross multiply
    12,409.22x = 17,126.28 × 7,694.21
  4. Step 4: Simplify right side
    12,409.22x = 131,773,109.21
  5. Step 5: Solve for x
    x = 131,773,109.21/12,409.22
  6. Step 6: Final answer
    x = 10,618.97

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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.