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Finding the Fourth Proportional to 16,976.41, 23,426.34 and 9,422.38

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Solution

The fourth proportional to 16,976.41, 23,426.34 and 9,422.38 is: 13,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.41 : 23,426.34 = 9,422.38 : x
  2. Step 2: Convert to fraction form
    16,976.41/23,426.34 = 9,422.38/x
  3. Step 3: Cross multiply
    16,976.41x = 23,426.34 × 9,422.38
  4. Step 4: Simplify right side
    16,976.41x = 220,731,766.17
  5. Step 5: Solve for x
    x = 220,731,766.17/16,976.41
  6. Step 6: Final answer
    x = 13,002.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.