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Finding the Fourth Proportional to 12,644.46, 17,450.34 and 9,302.61

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Solution

The fourth proportional to 12,644.46, 17,450.34 and 9,302.61 is: 12,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.46 : 17,450.34 = 9,302.61 : x
  2. Step 2: Convert to fraction form
    12,644.46/17,450.34 = 9,302.61/x
  3. Step 3: Cross multiply
    12,644.46x = 17,450.34 × 9,302.61
  4. Step 4: Simplify right side
    12,644.46x = 162,333,707.39
  5. Step 5: Solve for x
    x = 162,333,707.39/12,644.46
  6. Step 6: Final answer
    x = 12,838.33

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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.