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Finding the Fourth Proportional to 22,641.66, 33,965.26 and 6,002.03

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Solution

The fourth proportional to 22,641.66, 33,965.26 and 6,002.03 is: 9,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.66 : 33,965.26 = 6,002.03 : x
  2. Step 2: Convert to fraction form
    22,641.66/33,965.26 = 6,002.03/x
  3. Step 3: Cross multiply
    22,641.66x = 33,965.26 × 6,002.03
  4. Step 4: Simplify right side
    22,641.66x = 203,860,579.39
  5. Step 5: Solve for x
    x = 203,860,579.39/22,641.66
  6. Step 6: Final answer
    x = 9,003.78

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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.