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Finding the Fourth Proportional to 23,888, 35,836.50 and 11,408.96

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Solution

The fourth proportional to 23,888, 35,836.50 and 11,408.96 is: 17,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888 : 35,836.50 = 11,408.96 : x
  2. Step 2: Convert to fraction form
    23,888/35,836.50 = 11,408.96/x
  3. Step 3: Cross multiply
    23,888x = 35,836.50 × 11,408.96
  4. Step 4: Simplify right side
    23,888x = 408,857,195.04
  5. Step 5: Solve for x
    x = 408,857,195.04/23,888
  6. Step 6: Final answer
    x = 17,115.59

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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.