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Finding the Fourth Proportional to 22,464, 33,696 and 6,881.52

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Solution

The fourth proportional to 22,464, 33,696 and 6,881.52 is: 10,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464 : 33,696 = 6,881.52 : x
  2. Step 2: Convert to fraction form
    22,464/33,696 = 6,881.52/x
  3. Step 3: Cross multiply
    22,464x = 33,696 × 6,881.52
  4. Step 4: Simplify right side
    22,464x = 231,879,697.92
  5. Step 5: Solve for x
    x = 231,879,697.92/22,464
  6. Step 6: Final answer
    x = 10,322.28

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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.