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Finding the Fourth Proportional to 13,832.48, 20,754.82 and 7,257.08

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Solution

The fourth proportional to 13,832.48, 20,754.82 and 7,257.08 is: 10,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.48 : 20,754.82 = 7,257.08 : x
  2. Step 2: Convert to fraction form
    13,832.48/20,754.82 = 7,257.08/x
  3. Step 3: Cross multiply
    13,832.48x = 20,754.82 × 7,257.08
  4. Step 4: Simplify right side
    13,832.48x = 150,619,389.13
  5. Step 5: Solve for x
    x = 150,619,389.13/13,832.48
  6. Step 6: Final answer
    x = 10,888.82

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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.