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Finding the Fourth Proportional to 18,213.87, 27,309.48 and 7,678.47

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Solution

The fourth proportional to 18,213.87, 27,309.48 and 7,678.47 is: 11,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.87 : 27,309.48 = 7,678.47 : x
  2. Step 2: Convert to fraction form
    18,213.87/27,309.48 = 7,678.47/x
  3. Step 3: Cross multiply
    18,213.87x = 27,309.48 × 7,678.47
  4. Step 4: Simplify right side
    18,213.87x = 209,695,022.90
  5. Step 5: Solve for x
    x = 209,695,022.90/18,213.87
  6. Step 6: Final answer
    x = 11,512.93

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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.