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Finding the Fourth Proportional to 17,634.56, 24,367.84 and 12,846.17

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Solution

The fourth proportional to 17,634.56, 24,367.84 and 12,846.17 is: 17,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.56 : 24,367.84 = 12,846.17 : x
  2. Step 2: Convert to fraction form
    17,634.56/24,367.84 = 12,846.17/x
  3. Step 3: Cross multiply
    17,634.56x = 24,367.84 × 12,846.17
  4. Step 4: Simplify right side
    17,634.56x = 313,033,443.98
  5. Step 5: Solve for x
    x = 313,033,443.98/17,634.56
  6. Step 6: Final answer
    x = 17,751.14

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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.