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Finding the Fourth Proportional to 24,695, 34,079.10 and 13,517

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Solution

The fourth proportional to 24,695, 34,079.10 and 13,517 is: 18,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695 : 34,079.10 = 13,517 : x
  2. Step 2: Convert to fraction form
    24,695/34,079.10 = 13,517/x
  3. Step 3: Cross multiply
    24,695x = 34,079.10 × 13,517
  4. Step 4: Simplify right side
    24,695x = 460,647,194.70
  5. Step 5: Solve for x
    x = 460,647,194.70/24,695
  6. Step 6: Final answer
    x = 18,653.46

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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.