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Finding the Fourth Proportional to 24,797, 34,219.86 and 13,619

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Solution

The fourth proportional to 24,797, 34,219.86 and 13,619 is: 18,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797 : 34,219.86 = 13,619 : x
  2. Step 2: Convert to fraction form
    24,797/34,219.86 = 13,619/x
  3. Step 3: Cross multiply
    24,797x = 34,219.86 × 13,619
  4. Step 4: Simplify right side
    24,797x = 466,040,273.34
  5. Step 5: Solve for x
    x = 466,040,273.34/24,797
  6. Step 6: Final answer
    x = 18,794.22

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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.