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Finding the Fourth Proportional to 24,500, 33,810 and 13,322

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Solution

The fourth proportional to 24,500, 33,810 and 13,322 is: 18,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500 : 33,810 = 13,322 : x
  2. Step 2: Convert to fraction form
    24,500/33,810 = 13,322/x
  3. Step 3: Cross multiply
    24,500x = 33,810 × 13,322
  4. Step 4: Simplify right side
    24,500x = 450,416,820
  5. Step 5: Solve for x
    x = 450,416,820/24,500
  6. Step 6: Final answer
    x = 18,384.36

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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.