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Finding the Fourth Proportional to 12,832.40, 17,713.72 and 7,797.44

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Solution

The fourth proportional to 12,832.40, 17,713.72 and 7,797.44 is: 10,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.40 : 17,713.72 = 7,797.44 : x
  2. Step 2: Convert to fraction form
    12,832.40/17,713.72 = 7,797.44/x
  3. Step 3: Cross multiply
    12,832.40x = 17,713.72 × 7,797.44
  4. Step 4: Simplify right side
    12,832.40x = 138,121,722.91
  5. Step 5: Solve for x
    x = 138,121,722.91/12,832.40
  6. Step 6: Final answer
    x = 10,763.51

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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.