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Finding the Fourth Proportional to 22,204.57, 33,323.28 and 10,517.82

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Solution

The fourth proportional to 22,204.57, 33,323.28 and 10,517.82 is: 15,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.57 : 33,323.28 = 10,517.82 : x
  2. Step 2: Convert to fraction form
    22,204.57/33,323.28 = 10,517.82/x
  3. Step 3: Cross multiply
    22,204.57x = 33,323.28 × 10,517.82
  4. Step 4: Simplify right side
    22,204.57x = 350,488,094.23
  5. Step 5: Solve for x
    x = 350,488,094.23/22,204.57
  6. Step 6: Final answer
    x = 15,784.50

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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.