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Finding the Fourth Proportional to 22,940.50, 31,667.60 and 13,991.21

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Solution

The fourth proportional to 22,940.50, 31,667.60 and 13,991.21 is: 19,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.50 : 31,667.60 = 13,991.21 : x
  2. Step 2: Convert to fraction form
    22,940.50/31,667.60 = 13,991.21/x
  3. Step 3: Cross multiply
    22,940.50x = 31,667.60 × 13,991.21
  4. Step 4: Simplify right side
    22,940.50x = 443,068,041.80
  5. Step 5: Solve for x
    x = 443,068,041.80/22,940.50
  6. Step 6: Final answer
    x = 19,313.79

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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.