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Finding the Fourth Proportional to 16,976.10, 23,425.86 and 9,422.16

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Solution

The fourth proportional to 16,976.10, 23,425.86 and 9,422.16 is: 13,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.10 : 23,425.86 = 9,422.16 : x
  2. Step 2: Convert to fraction form
    16,976.10/23,425.86 = 9,422.16/x
  3. Step 3: Cross multiply
    16,976.10x = 23,425.86 × 9,422.16
  4. Step 4: Simplify right side
    16,976.10x = 220,722,201.06
  5. Step 5: Solve for x
    x = 220,722,201.06/16,976.10
  6. Step 6: Final answer
    x = 13,001.94

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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.