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Finding the Fourth Proportional to 30,694.14, 42,361.53 and 17,265.90

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Solution

The fourth proportional to 30,694.14, 42,361.53 and 17,265.90 is: 23,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.14 : 42,361.53 = 17,265.90 : x
  2. Step 2: Convert to fraction form
    30,694.14/42,361.53 = 17,265.90/x
  3. Step 3: Cross multiply
    30,694.14x = 42,361.53 × 17,265.90
  4. Step 4: Simplify right side
    30,694.14x = 731,409,940.83
  5. Step 5: Solve for x
    x = 731,409,940.83/30,694.14
  6. Step 6: Final answer
    x = 23,828.98

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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.