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Finding the Fourth Proportional to 16,474.38, 22,736.28 and 9,401.87

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Solution

The fourth proportional to 16,474.38, 22,736.28 and 9,401.87 is: 12,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.38 : 22,736.28 = 9,401.87 : x
  2. Step 2: Convert to fraction form
    16,474.38/22,736.28 = 9,401.87/x
  3. Step 3: Cross multiply
    16,474.38x = 22,736.28 × 9,401.87
  4. Step 4: Simplify right side
    16,474.38x = 213,763,388.15
  5. Step 5: Solve for x
    x = 213,763,388.15/16,474.38
  6. Step 6: Final answer
    x = 12,975.50

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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.