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Finding the Fourth Proportional to 22,164, 33,246 and 9,852

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Solution

The fourth proportional to 22,164, 33,246 and 9,852 is: 14,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 33,246 = 9,852 : x
  2. Step 2: Convert to fraction form
    22,164/33,246 = 9,852/x
  3. Step 3: Cross multiply
    22,164x = 33,246 × 9,852
  4. Step 4: Simplify right side
    22,164x = 327,539,592
  5. Step 5: Solve for x
    x = 327,539,592/22,164
  6. Step 6: Final answer
    x = 14,778

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.