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Finding the Fourth Proportional to 16,474.29, 22,736.14 and 9,401.77

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Solution

The fourth proportional to 16,474.29, 22,736.14 and 9,401.77 is: 12,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.29 : 22,736.14 = 9,401.77 : x
  2. Step 2: Convert to fraction form
    16,474.29/22,736.14 = 9,401.77/x
  3. Step 3: Cross multiply
    16,474.29x = 22,736.14 × 9,401.77
  4. Step 4: Simplify right side
    16,474.29x = 213,760,016.77
  5. Step 5: Solve for x
    x = 213,760,016.77/16,474.29
  6. Step 6: Final answer
    x = 12,975.37

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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.