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Finding the Fourth Proportional to 11,755.90, 17,738.57 and 11,300.23

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Solution

The fourth proportional to 11,755.90, 17,738.57 and 11,300.23 is: 17,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.90 : 17,738.57 = 11,300.23 : x
  2. Step 2: Convert to fraction form
    11,755.90/17,738.57 = 11,300.23/x
  3. Step 3: Cross multiply
    11,755.90x = 17,738.57 × 11,300.23
  4. Step 4: Simplify right side
    11,755.90x = 200,449,920.87
  5. Step 5: Solve for x
    x = 200,449,920.87/11,755.90
  6. Step 6: Final answer
    x = 17,051.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.