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Finding the Fourth Proportional to 24,795, 34,217.10 and 13,617

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Solution

The fourth proportional to 24,795, 34,217.10 and 13,617 is: 18,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,795 : 34,217.10 = 13,617 : x
  2. Step 2: Convert to fraction form
    24,795/34,217.10 = 13,617/x
  3. Step 3: Cross multiply
    24,795x = 34,217.10 × 13,617
  4. Step 4: Simplify right side
    24,795x = 465,934,250.70
  5. Step 5: Solve for x
    x = 465,934,250.70/24,795
  6. Step 6: Final answer
    x = 18,791.46

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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.