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Finding the Fourth Proportional to 22,086.25, 33,129.38 and 6,503.65

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Solution

The fourth proportional to 22,086.25, 33,129.38 and 6,503.65 is: 9,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.25 : 33,129.38 = 6,503.65 : x
  2. Step 2: Convert to fraction form
    22,086.25/33,129.38 = 6,503.65/x
  3. Step 3: Cross multiply
    22,086.25x = 33,129.38 × 6,503.65
  4. Step 4: Simplify right side
    22,086.25x = 215,461,859.72
  5. Step 5: Solve for x
    x = 215,461,859.72/22,086.25
  6. Step 6: Final answer
    x = 9,755.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.