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Finding the Fourth Proportional to 24,371, 33,631.98 and 13,193

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Solution

The fourth proportional to 24,371, 33,631.98 and 13,193 is: 18,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371 : 33,631.98 = 13,193 : x
  2. Step 2: Convert to fraction form
    24,371/33,631.98 = 13,193/x
  3. Step 3: Cross multiply
    24,371x = 33,631.98 × 13,193
  4. Step 4: Simplify right side
    24,371x = 443,706,712.14
  5. Step 5: Solve for x
    x = 443,706,712.14/24,371
  6. Step 6: Final answer
    x = 18,206.34

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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.