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Finding the Fourth Proportional to 18,927.53, 28,394.73 and 7,828.19

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Solution

The fourth proportional to 18,927.53, 28,394.73 and 7,828.19 is: 11,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,927.53 : 28,394.73 = 7,828.19 : x
  2. Step 2: Convert to fraction form
    18,927.53/28,394.73 = 7,828.19/x
  3. Step 3: Cross multiply
    18,927.53x = 28,394.73 × 7,828.19
  4. Step 4: Simplify right side
    18,927.53x = 222,279,341.44
  5. Step 5: Solve for x
    x = 222,279,341.44/18,927.53
  6. Step 6: Final answer
    x = 11,743.71

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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.