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Finding the Fourth Proportional to 18,212.28, 27,296.54 and 7,678.24

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Solution

The fourth proportional to 18,212.28, 27,296.54 and 7,678.24 is: 11,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.28 : 27,296.54 = 7,678.24 : x
  2. Step 2: Convert to fraction form
    18,212.28/27,296.54 = 7,678.24/x
  3. Step 3: Cross multiply
    18,212.28x = 27,296.54 × 7,678.24
  4. Step 4: Simplify right side
    18,212.28x = 209,589,385.29
  5. Step 5: Solve for x
    x = 209,589,385.29/18,212.28
  6. Step 6: Final answer
    x = 11,508.14

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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.