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Finding the Fourth Proportional to 18,093, 27,141.84 and 10,705.80

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Solution

The fourth proportional to 18,093, 27,141.84 and 10,705.80 is: 16,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,093 : 27,141.84 = 10,705.80 : x
  2. Step 2: Convert to fraction form
    18,093/27,141.84 = 10,705.80/x
  3. Step 3: Cross multiply
    18,093x = 27,141.84 × 10,705.80
  4. Step 4: Simplify right side
    18,093x = 290,575,110.67
  5. Step 5: Solve for x
    x = 290,575,110.67/18,093
  6. Step 6: Final answer
    x = 16,060.08

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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.