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Finding the Fourth Proportional to 22,336, 33,504 and 6,753.28

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Solution

The fourth proportional to 22,336, 33,504 and 6,753.28 is: 10,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336 : 33,504 = 6,753.28 : x
  2. Step 2: Convert to fraction form
    22,336/33,504 = 6,753.28/x
  3. Step 3: Cross multiply
    22,336x = 33,504 × 6,753.28
  4. Step 4: Simplify right side
    22,336x = 226,261,893.12
  5. Step 5: Solve for x
    x = 226,261,893.12/22,336
  6. Step 6: Final answer
    x = 10,129.92

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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.