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Finding the Fourth Proportional to 13,188.43, 19,778.73 and 7,183.59

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Solution

The fourth proportional to 13,188.43, 19,778.73 and 7,183.59 is: 10,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.43 : 19,778.73 = 7,183.59 : x
  2. Step 2: Convert to fraction form
    13,188.43/19,778.73 = 7,183.59/x
  3. Step 3: Cross multiply
    13,188.43x = 19,778.73 × 7,183.59
  4. Step 4: Simplify right side
    13,188.43x = 142,082,287.04
  5. Step 5: Solve for x
    x = 142,082,287.04/13,188.43
  6. Step 6: Final answer
    x = 10,773.25

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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.