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Finding the Fourth Proportional to 22,448.34, 33,696 and 9,308.52

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Solution

The fourth proportional to 22,448.34, 33,696 and 9,308.52 is: 13,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.34 : 33,696 = 9,308.52 : x
  2. Step 2: Convert to fraction form
    22,448.34/33,696 = 9,308.52/x
  3. Step 3: Cross multiply
    22,448.34x = 33,696 × 9,308.52
  4. Step 4: Simplify right side
    22,448.34x = 313,659,889.92
  5. Step 5: Solve for x
    x = 313,659,889.92/22,448.34
  6. Step 6: Final answer
    x = 13,972.52

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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.