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Finding the Fourth Proportional to 13,183.50, 18,192.54 and 7,214.02

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Solution

The fourth proportional to 13,183.50, 18,192.54 and 7,214.02 is: 9,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.50 : 18,192.54 = 7,214.02 : x
  2. Step 2: Convert to fraction form
    13,183.50/18,192.54 = 7,214.02/x
  3. Step 3: Cross multiply
    13,183.50x = 18,192.54 × 7,214.02
  4. Step 4: Simplify right side
    13,183.50x = 131,241,347.41
  5. Step 5: Solve for x
    x = 131,241,347.41/13,183.50
  6. Step 6: Final answer
    x = 9,954.97

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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.