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Finding the Fourth Proportional to 18,512, 27,770.89 and 6,029.08

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Solution

The fourth proportional to 18,512, 27,770.89 and 6,029.08 is: 9,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512 : 27,770.89 = 6,029.08 : x
  2. Step 2: Convert to fraction form
    18,512/27,770.89 = 6,029.08/x
  3. Step 3: Cross multiply
    18,512x = 27,770.89 × 6,029.08
  4. Step 4: Simplify right side
    18,512x = 167,432,917.48
  5. Step 5: Solve for x
    x = 167,432,917.48/18,512
  6. Step 6: Final answer
    x = 9,044.56

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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.