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Finding the Fourth Proportional to 22,579.90, 33,873 and 9,429.28

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Solution

The fourth proportional to 22,579.90, 33,873 and 9,429.28 is: 14,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,579.90 : 33,873 = 9,429.28 : x
  2. Step 2: Convert to fraction form
    22,579.90/33,873 = 9,429.28/x
  3. Step 3: Cross multiply
    22,579.90x = 33,873 × 9,429.28
  4. Step 4: Simplify right side
    22,579.90x = 319,398,001.44
  5. Step 5: Solve for x
    x = 319,398,001.44/22,579.90
  6. Step 6: Final answer
    x = 14,145.24

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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.