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Finding the Fourth Proportional to 24,910, 34,375.80 and 13,732.24

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Solution

The fourth proportional to 24,910, 34,375.80 and 13,732.24 is: 18,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,910 : 34,375.80 = 13,732.24 : x
  2. Step 2: Convert to fraction form
    24,910/34,375.80 = 13,732.24/x
  3. Step 3: Cross multiply
    24,910x = 34,375.80 × 13,732.24
  4. Step 4: Simplify right side
    24,910x = 472,056,735.79
  5. Step 5: Solve for x
    x = 472,056,735.79/24,910
  6. Step 6: Final answer
    x = 18,950.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.