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Finding the Fourth Proportional to 22,028.50, 33,036.27 and 6,442.42

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Solution

The fourth proportional to 22,028.50, 33,036.27 and 6,442.42 is: 9,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028.50 : 33,036.27 = 6,442.42 : x
  2. Step 2: Convert to fraction form
    22,028.50/33,036.27 = 6,442.42/x
  3. Step 3: Cross multiply
    22,028.50x = 33,036.27 × 6,442.42
  4. Step 4: Simplify right side
    22,028.50x = 212,833,526.57
  5. Step 5: Solve for x
    x = 212,833,526.57/22,028.50
  6. Step 6: Final answer
    x = 9,661.73

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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.