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Finding the Fourth Proportional to 30,626.32, 42,268.06 and 17,198.14

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Solution

The fourth proportional to 30,626.32, 42,268.06 and 17,198.14 is: 23,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.32 : 42,268.06 = 17,198.14 : x
  2. Step 2: Convert to fraction form
    30,626.32/42,268.06 = 17,198.14/x
  3. Step 3: Cross multiply
    30,626.32x = 42,268.06 × 17,198.14
  4. Step 4: Simplify right side
    30,626.32x = 726,932,013.41
  5. Step 5: Solve for x
    x = 726,932,013.41/30,626.32
  6. Step 6: Final answer
    x = 23,735.53

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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.