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Finding the Fourth Proportional to 16,976.35, 23,427 and 9,422.24

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Solution

The fourth proportional to 16,976.35, 23,427 and 9,422.24 is: 13,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.35 : 23,427 = 9,422.24 : x
  2. Step 2: Convert to fraction form
    16,976.35/23,427 = 9,422.24/x
  3. Step 3: Cross multiply
    16,976.35x = 23,427 × 9,422.24
  4. Step 4: Simplify right side
    16,976.35x = 220,734,816.48
  5. Step 5: Solve for x
    x = 220,734,816.48/16,976.35
  6. Step 6: Final answer
    x = 13,002.49

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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.