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Finding the Fourth Proportional to 30,694.31, 42,361.90 and 17,266.13

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Solution

The fourth proportional to 30,694.31, 42,361.90 and 17,266.13 is: 23,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.31 : 42,361.90 = 17,266.13 : x
  2. Step 2: Convert to fraction form
    30,694.31/42,361.90 = 17,266.13/x
  3. Step 3: Cross multiply
    30,694.31x = 42,361.90 × 17,266.13
  4. Step 4: Simplify right side
    30,694.31x = 731,425,986.12
  5. Step 5: Solve for x
    x = 731,425,986.12/30,694.31
  6. Step 6: Final answer
    x = 23,829.37

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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.