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Finding the Fourth Proportional to 17,314.49, 25,951.22 and 7,946.61

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Solution

The fourth proportional to 17,314.49, 25,951.22 and 7,946.61 is: 11,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.49 : 25,951.22 = 7,946.61 : x
  2. Step 2: Convert to fraction form
    17,314.49/25,951.22 = 7,946.61/x
  3. Step 3: Cross multiply
    17,314.49x = 25,951.22 × 7,946.61
  4. Step 4: Simplify right side
    17,314.49x = 206,224,184.63
  5. Step 5: Solve for x
    x = 206,224,184.63/17,314.49
  6. Step 6: Final answer
    x = 11,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.