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Finding the Fourth Proportional to 16,923.27, 25,401.31 and 8,164.34

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Solution

The fourth proportional to 16,923.27, 25,401.31 and 8,164.34 is: 12,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.27 : 25,401.31 = 8,164.34 : x
  2. Step 2: Convert to fraction form
    16,923.27/25,401.31 = 8,164.34/x
  3. Step 3: Cross multiply
    16,923.27x = 25,401.31 × 8,164.34
  4. Step 4: Simplify right side
    16,923.27x = 207,384,804.28
  5. Step 5: Solve for x
    x = 207,384,804.28/16,923.27
  6. Step 6: Final answer
    x = 12,254.42

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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.