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Finding the Fourth Proportional to 16,956, 23,400 and 9,504

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Solution

The fourth proportional to 16,956, 23,400 and 9,504 is: 13,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 23,400 = 9,504 : x
  2. Step 2: Convert to fraction form
    16,956/23,400 = 9,504/x
  3. Step 3: Cross multiply
    16,956x = 23,400 × 9,504
  4. Step 4: Simplify right side
    16,956x = 222,393,600
  5. Step 5: Solve for x
    x = 222,393,600/16,956
  6. Step 6: Final answer
    x = 13,115.92

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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.