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Finding the Fourth Proportional to 24,863, 34,310.94 and 13,685

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Solution

The fourth proportional to 24,863, 34,310.94 and 13,685 is: 18,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863 : 34,310.94 = 13,685 : x
  2. Step 2: Convert to fraction form
    24,863/34,310.94 = 13,685/x
  3. Step 3: Cross multiply
    24,863x = 34,310.94 × 13,685
  4. Step 4: Simplify right side
    24,863x = 469,545,213.90
  5. Step 5: Solve for x
    x = 469,545,213.90/24,863
  6. Step 6: Final answer
    x = 18,885.30

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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.