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Finding the Fourth Proportional to 18,832.89, 28,238.26 and 7,146.93

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Solution

The fourth proportional to 18,832.89, 28,238.26 and 7,146.93 is: 10,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.89 : 28,238.26 = 7,146.93 : x
  2. Step 2: Convert to fraction form
    18,832.89/28,238.26 = 7,146.93/x
  3. Step 3: Cross multiply
    18,832.89x = 28,238.26 × 7,146.93
  4. Step 4: Simplify right side
    18,832.89x = 201,816,867.54
  5. Step 5: Solve for x
    x = 201,816,867.54/18,832.89
  6. Step 6: Final answer
    x = 10,716.19

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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.