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Finding the Fourth Proportional to 22,442.82, 33,664.22 and 6,026.82

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Solution

The fourth proportional to 22,442.82, 33,664.22 and 6,026.82 is: 9,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.82 : 33,664.22 = 6,026.82 : x
  2. Step 2: Convert to fraction form
    22,442.82/33,664.22 = 6,026.82/x
  3. Step 3: Cross multiply
    22,442.82x = 33,664.22 × 6,026.82
  4. Step 4: Simplify right side
    22,442.82x = 202,888,194.38
  5. Step 5: Solve for x
    x = 202,888,194.38/22,442.82
  6. Step 6: Final answer
    x = 9,040.23

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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.