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Finding the Fourth Proportional to 12,634.38, 17,435.40 and 7,257.17

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Solution

The fourth proportional to 12,634.38, 17,435.40 and 7,257.17 is: 10,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.38 : 17,435.40 = 7,257.17 : x
  2. Step 2: Convert to fraction form
    12,634.38/17,435.40 = 7,257.17/x
  3. Step 3: Cross multiply
    12,634.38x = 17,435.40 × 7,257.17
  4. Step 4: Simplify right side
    12,634.38x = 126,531,574.64
  5. Step 5: Solve for x
    x = 126,531,574.64/12,634.38
  6. Step 6: Final answer
    x = 10,014.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.