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Finding the Fourth Proportional to 22,518.81, 33,781.86 and 7,728.21

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Solution

The fourth proportional to 22,518.81, 33,781.86 and 7,728.21 is: 11,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.81 : 33,781.86 = 7,728.21 : x
  2. Step 2: Convert to fraction form
    22,518.81/33,781.86 = 7,728.21/x
  3. Step 3: Cross multiply
    22,518.81x = 33,781.86 × 7,728.21
  4. Step 4: Simplify right side
    22,518.81x = 261,073,308.27
  5. Step 5: Solve for x
    x = 261,073,308.27/22,518.81
  6. Step 6: Final answer
    x = 11,593.57

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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.