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Finding the Fourth Proportional to 16,796.38, 23,178.50 and 9,242.68

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Solution

The fourth proportional to 16,796.38, 23,178.50 and 9,242.68 is: 12,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796.38 : 23,178.50 = 9,242.68 : x
  2. Step 2: Convert to fraction form
    16,796.38/23,178.50 = 9,242.68/x
  3. Step 3: Cross multiply
    16,796.38x = 23,178.50 × 9,242.68
  4. Step 4: Simplify right side
    16,796.38x = 214,231,458.38
  5. Step 5: Solve for x
    x = 214,231,458.38/16,796.38
  6. Step 6: Final answer
    x = 12,754.62

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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.