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Finding the Fourth Proportional to 22,084.44, 33,125.88 and 7,293

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Solution

The fourth proportional to 22,084.44, 33,125.88 and 7,293 is: 10,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.44 : 33,125.88 = 7,293 : x
  2. Step 2: Convert to fraction form
    22,084.44/33,125.88 = 7,293/x
  3. Step 3: Cross multiply
    22,084.44x = 33,125.88 × 7,293
  4. Step 4: Simplify right side
    22,084.44x = 241,587,042.84
  5. Step 5: Solve for x
    x = 241,587,042.84/22,084.44
  6. Step 6: Final answer
    x = 10,939.24

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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.