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Finding the Fourth Proportional to 24,400, 33,672 and 13,222

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Solution

The fourth proportional to 24,400, 33,672 and 13,222 is: 18,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 33,672 = 13,222 : x
  2. Step 2: Convert to fraction form
    24,400/33,672 = 13,222/x
  3. Step 3: Cross multiply
    24,400x = 33,672 × 13,222
  4. Step 4: Simplify right side
    24,400x = 445,211,184
  5. Step 5: Solve for x
    x = 445,211,184/24,400
  6. Step 6: Final answer
    x = 18,246.36

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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.