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Finding the Fourth Proportional to 22,838.49, 34,260.48 and 8,044.35

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Solution

The fourth proportional to 22,838.49, 34,260.48 and 8,044.35 is: 12,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.49 : 34,260.48 = 8,044.35 : x
  2. Step 2: Convert to fraction form
    22,838.49/34,260.48 = 8,044.35/x
  3. Step 3: Cross multiply
    22,838.49x = 34,260.48 × 8,044.35
  4. Step 4: Simplify right side
    22,838.49x = 275,603,292.29
  5. Step 5: Solve for x
    x = 275,603,292.29/22,838.49
  6. Step 6: Final answer
    x = 12,067.49

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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.