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Finding the Fourth Proportional to 22,520.52, 33,743.90 and 7,721.48

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Solution

The fourth proportional to 22,520.52, 33,743.90 and 7,721.48 is: 11,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.52 : 33,743.90 = 7,721.48 : x
  2. Step 2: Convert to fraction form
    22,520.52/33,743.90 = 7,721.48/x
  3. Step 3: Cross multiply
    22,520.52x = 33,743.90 × 7,721.48
  4. Step 4: Simplify right side
    22,520.52x = 260,552,848.97
  5. Step 5: Solve for x
    x = 260,552,848.97/22,520.52
  6. Step 6: Final answer
    x = 11,569.58

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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.