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Finding the Fourth Proportional to 16,505.36, 22,747.65 and 12,022.01

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Solution

The fourth proportional to 16,505.36, 22,747.65 and 12,022.01 is: 16,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.36 : 22,747.65 = 12,022.01 : x
  2. Step 2: Convert to fraction form
    16,505.36/22,747.65 = 12,022.01/x
  3. Step 3: Cross multiply
    16,505.36x = 22,747.65 × 12,022.01
  4. Step 4: Simplify right side
    16,505.36x = 273,472,469.88
  5. Step 5: Solve for x
    x = 273,472,469.88/16,505.36
  6. Step 6: Final answer
    x = 16,568.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.