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Finding the Fourth Proportional to 18,129.78, 27,183.42 and 5,646.26

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Solution

The fourth proportional to 18,129.78, 27,183.42 and 5,646.26 is: 8,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.78 : 27,183.42 = 5,646.26 : x
  2. Step 2: Convert to fraction form
    18,129.78/27,183.42 = 5,646.26/x
  3. Step 3: Cross multiply
    18,129.78x = 27,183.42 × 5,646.26
  4. Step 4: Simplify right side
    18,129.78x = 153,484,657.01
  5. Step 5: Solve for x
    x = 153,484,657.01/18,129.78
  6. Step 6: Final answer
    x = 8,465.89

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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.