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Finding the Fourth Proportional to 12,832.20, 17,709.12 and 7,527.48

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Solution

The fourth proportional to 12,832.20, 17,709.12 and 7,527.48 is: 10,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.20 : 17,709.12 = 7,527.48 : x
  2. Step 2: Convert to fraction form
    12,832.20/17,709.12 = 7,527.48/x
  3. Step 3: Cross multiply
    12,832.20x = 17,709.12 × 7,527.48
  4. Step 4: Simplify right side
    12,832.20x = 133,305,046.62
  5. Step 5: Solve for x
    x = 133,305,046.62/12,832.20
  6. Step 6: Final answer
    x = 10,388.32

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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.