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Finding the Fourth Proportional to 22,318.96, 33,493.02 and 11,938

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Solution

The fourth proportional to 22,318.96, 33,493.02 and 11,938 is: 17,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.96 : 33,493.02 = 11,938 : x
  2. Step 2: Convert to fraction form
    22,318.96/33,493.02 = 11,938/x
  3. Step 3: Cross multiply
    22,318.96x = 33,493.02 × 11,938
  4. Step 4: Simplify right side
    22,318.96x = 399,839,672.76
  5. Step 5: Solve for x
    x = 399,839,672.76/22,318.96
  6. Step 6: Final answer
    x = 17,914.80

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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.