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Finding the Fourth Proportional to 12,635.46, 17,417.09 and 8,649.65

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Solution

The fourth proportional to 12,635.46, 17,417.09 and 8,649.65 is: 11,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.46 : 17,417.09 = 8,649.65 : x
  2. Step 2: Convert to fraction form
    12,635.46/17,417.09 = 8,649.65/x
  3. Step 3: Cross multiply
    12,635.46x = 17,417.09 × 8,649.65
  4. Step 4: Simplify right side
    12,635.46x = 150,651,797.69
  5. Step 5: Solve for x
    x = 150,651,797.69/12,635.46
  6. Step 6: Final answer
    x = 11,922.94

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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.