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Finding the Fourth Proportional to 13,190.50, 18,202.96 and 9,836.29

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Solution

The fourth proportional to 13,190.50, 18,202.96 and 9,836.29 is: 13,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.50 : 18,202.96 = 9,836.29 : x
  2. Step 2: Convert to fraction form
    13,190.50/18,202.96 = 9,836.29/x
  3. Step 3: Cross multiply
    13,190.50x = 18,202.96 × 9,836.29
  4. Step 4: Simplify right side
    13,190.50x = 179,049,593.42
  5. Step 5: Solve for x
    x = 179,049,593.42/13,190.50
  6. Step 6: Final answer
    x = 13,574.13

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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.