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Finding the Fourth Proportional to 12,469.46, 17,205.49 and 7,434.15

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Solution

The fourth proportional to 12,469.46, 17,205.49 and 7,434.15 is: 10,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.46 : 17,205.49 = 7,434.15 : x
  2. Step 2: Convert to fraction form
    12,469.46/17,205.49 = 7,434.15/x
  3. Step 3: Cross multiply
    12,469.46x = 17,205.49 × 7,434.15
  4. Step 4: Simplify right side
    12,469.46x = 127,908,174.90
  5. Step 5: Solve for x
    x = 127,908,174.90/12,469.46
  6. Step 6: Final answer
    x = 10,257.71

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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.