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Finding the Fourth Proportional to 24,806, 34,232.82 and 13,628

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Solution

The fourth proportional to 24,806, 34,232.82 and 13,628 is: 18,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806 : 34,232.82 = 13,628 : x
  2. Step 2: Convert to fraction form
    24,806/34,232.82 = 13,628/x
  3. Step 3: Cross multiply
    24,806x = 34,232.82 × 13,628
  4. Step 4: Simplify right side
    24,806x = 466,524,870.96
  5. Step 5: Solve for x
    x = 466,524,870.96/24,806
  6. Step 6: Final answer
    x = 18,806.94

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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.