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Finding the Fourth Proportional to 39,422.92, 59,083.04 and 16,022

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Solution

The fourth proportional to 39,422.92, 59,083.04 and 16,022 is: 24,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422.92 : 59,083.04 = 16,022 : x
  2. Step 2: Convert to fraction form
    39,422.92/59,083.04 = 16,022/x
  3. Step 3: Cross multiply
    39,422.92x = 59,083.04 × 16,022
  4. Step 4: Simplify right side
    39,422.92x = 946,628,466.88
  5. Step 5: Solve for x
    x = 946,628,466.88/39,422.92
  6. Step 6: Final answer
    x = 24,012.13

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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.