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Finding the Fourth Proportional to 24,805, 34,231.50 and 13,627

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Solution

The fourth proportional to 24,805, 34,231.50 and 13,627 is: 18,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805 : 34,231.50 = 13,627 : x
  2. Step 2: Convert to fraction form
    24,805/34,231.50 = 13,627/x
  3. Step 3: Cross multiply
    24,805x = 34,231.50 × 13,627
  4. Step 4: Simplify right side
    24,805x = 466,472,650.50
  5. Step 5: Solve for x
    x = 466,472,650.50/24,805
  6. Step 6: Final answer
    x = 18,805.59

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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.