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Finding the Fourth Proportional to 13,183.14, 18,192.42 and 7,214.80

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Solution

The fourth proportional to 13,183.14, 18,192.42 and 7,214.80 is: 9,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.14 : 18,192.42 = 7,214.80 : x
  2. Step 2: Convert to fraction form
    13,183.14/18,192.42 = 7,214.80/x
  3. Step 3: Cross multiply
    13,183.14x = 18,192.42 × 7,214.80
  4. Step 4: Simplify right side
    13,183.14x = 131,254,671.82
  5. Step 5: Solve for x
    x = 131,254,671.82/13,183.14
  6. Step 6: Final answer
    x = 9,956.25

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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.