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Finding the Fourth Proportional to 24,189.22, 36,286.56 and 7,548.88

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Solution

The fourth proportional to 24,189.22, 36,286.56 and 7,548.88 is: 11,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.22 : 36,286.56 = 7,548.88 : x
  2. Step 2: Convert to fraction form
    24,189.22/36,286.56 = 7,548.88/x
  3. Step 3: Cross multiply
    24,189.22x = 36,286.56 × 7,548.88
  4. Step 4: Simplify right side
    24,189.22x = 273,922,887.05
  5. Step 5: Solve for x
    x = 273,922,887.05/24,189.22
  6. Step 6: Final answer
    x = 11,324.17

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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.