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Finding the Fourth Proportional to 18,274.10, 27,412.16 and 8,922.09

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Solution

The fourth proportional to 18,274.10, 27,412.16 and 8,922.09 is: 13,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.10 : 27,412.16 = 8,922.09 : x
  2. Step 2: Convert to fraction form
    18,274.10/27,412.16 = 8,922.09/x
  3. Step 3: Cross multiply
    18,274.10x = 27,412.16 × 8,922.09
  4. Step 4: Simplify right side
    18,274.10x = 244,573,714.00
  5. Step 5: Solve for x
    x = 244,573,714.00/18,274.10
  6. Step 6: Final answer
    x = 13,383.63

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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.