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Finding the Fourth Proportional to 13,200.29, 18,215.98 and 7,231.84

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Solution

The fourth proportional to 13,200.29, 18,215.98 and 7,231.84 is: 9,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.29 : 18,215.98 = 7,231.84 : x
  2. Step 2: Convert to fraction form
    13,200.29/18,215.98 = 7,231.84/x
  3. Step 3: Cross multiply
    13,200.29x = 18,215.98 × 7,231.84
  4. Step 4: Simplify right side
    13,200.29x = 131,735,052.80
  5. Step 5: Solve for x
    x = 131,735,052.80/13,200.29
  6. Step 6: Final answer
    x = 9,979.71

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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.