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Finding the Fourth Proportional to 16,832.38, 25,242.67 and 9,232.14

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Solution

The fourth proportional to 16,832.38, 25,242.67 and 9,232.14 is: 13,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.38 : 25,242.67 = 9,232.14 : x
  2. Step 2: Convert to fraction form
    16,832.38/25,242.67 = 9,232.14/x
  3. Step 3: Cross multiply
    16,832.38x = 25,242.67 × 9,232.14
  4. Step 4: Simplify right side
    16,832.38x = 233,043,843.65
  5. Step 5: Solve for x
    x = 233,043,843.65/16,832.38
  6. Step 6: Final answer
    x = 13,844.97

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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.