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Finding the Fourth Proportional to 16,633.38, 22,954.60 and 9,463.12

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Solution

The fourth proportional to 16,633.38, 22,954.60 and 9,463.12 is: 13,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.38 : 22,954.60 = 9,463.12 : x
  2. Step 2: Convert to fraction form
    16,633.38/22,954.60 = 9,463.12/x
  3. Step 3: Cross multiply
    16,633.38x = 22,954.60 × 9,463.12
  4. Step 4: Simplify right side
    16,633.38x = 217,222,134.35
  5. Step 5: Solve for x
    x = 217,222,134.35/16,633.38
  6. Step 6: Final answer
    x = 13,059.41

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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.