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Finding the Fourth Proportional to 16,734, 23,092.96 and 9,283.44

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Solution

The fourth proportional to 16,734, 23,092.96 and 9,283.44 is: 12,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 23,092.96 = 9,283.44 : x
  2. Step 2: Convert to fraction form
    16,734/23,092.96 = 9,283.44/x
  3. Step 3: Cross multiply
    16,734x = 23,092.96 × 9,283.44
  4. Step 4: Simplify right side
    16,734x = 214,382,108.58
  5. Step 5: Solve for x
    x = 214,382,108.58/16,734
  6. Step 6: Final answer
    x = 12,811.17

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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.