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Finding the Fourth Proportional to 18,902.92, 28,356.32 and 7,225.96

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Solution

The fourth proportional to 18,902.92, 28,356.32 and 7,225.96 is: 10,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.92 : 28,356.32 = 7,225.96 : x
  2. Step 2: Convert to fraction form
    18,902.92/28,356.32 = 7,225.96/x
  3. Step 3: Cross multiply
    18,902.92x = 28,356.32 × 7,225.96
  4. Step 4: Simplify right side
    18,902.92x = 204,901,634.07
  5. Step 5: Solve for x
    x = 204,901,634.07/18,902.92
  6. Step 6: Final answer
    x = 10,839.68

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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.