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Finding the Fourth Proportional to 22,453.32, 33,642.78 and 13,661.64

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Solution

The fourth proportional to 22,453.32, 33,642.78 and 13,661.64 is: 20,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.32 : 33,642.78 = 13,661.64 : x
  2. Step 2: Convert to fraction form
    22,453.32/33,642.78 = 13,661.64/x
  3. Step 3: Cross multiply
    22,453.32x = 33,642.78 × 13,661.64
  4. Step 4: Simplify right side
    22,453.32x = 459,615,548.96
  5. Step 5: Solve for x
    x = 459,615,548.96/22,453.32
  6. Step 6: Final answer
    x = 20,469.83

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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.