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Finding the Fourth Proportional to 16,731.70, 23,118.42 and 16,133

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Solution

The fourth proportional to 16,731.70, 23,118.42 and 16,133 is: 22,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,731.70 : 23,118.42 = 16,133 : x
  2. Step 2: Convert to fraction form
    16,731.70/23,118.42 = 16,133/x
  3. Step 3: Cross multiply
    16,731.70x = 23,118.42 × 16,133
  4. Step 4: Simplify right side
    16,731.70x = 372,969,469.86
  5. Step 5: Solve for x
    x = 372,969,469.86/16,731.70
  6. Step 6: Final answer
    x = 22,291.19

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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.