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Finding the Fourth Proportional to 23,171.70, 31,976.67 and 12,561.21

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Solution

The fourth proportional to 23,171.70, 31,976.67 and 12,561.21 is: 17,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.70 : 31,976.67 = 12,561.21 : x
  2. Step 2: Convert to fraction form
    23,171.70/31,976.67 = 12,561.21/x
  3. Step 3: Cross multiply
    23,171.70x = 31,976.67 × 12,561.21
  4. Step 4: Simplify right side
    23,171.70x = 401,665,666.97
  5. Step 5: Solve for x
    x = 401,665,666.97/23,171.70
  6. Step 6: Final answer
    x = 17,334.32

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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.